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	<id>https://handwiki.scholarlywiki.org/index.php?action=history&amp;feed=atom&amp;title=Physics%3AQuantum_machine</id>
	<title>Physics:Quantum machine - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://handwiki.scholarlywiki.org/index.php?action=history&amp;feed=atom&amp;title=Physics%3AQuantum_machine"/>
	<link rel="alternate" type="text/html" href="https://handwiki.scholarlywiki.org/index.php?title=Physics:Quantum_machine&amp;action=history"/>
	<updated>2026-06-24T16:47:58Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.45.3</generator>
	<entry>
		<id>https://handwiki.scholarlywiki.org/index.php?title=Physics:Quantum_machine&amp;diff=10106&amp;oldid=prev</id>
		<title>WikiHarold: Fix final Quantum red link source</title>
		<link rel="alternate" type="text/html" href="https://handwiki.scholarlywiki.org/index.php?title=Physics:Quantum_machine&amp;diff=10106&amp;oldid=prev"/>
		<updated>2026-05-24T00:07:41Z</updated>

		<summary type="html">&lt;p&gt;Fix final Quantum red link source&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 00:07, 24 May 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l10&quot;&gt;Line 10:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 10:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;div style=&amp;quot;flex:1; line-height:1.45; color:#006b45; column-count:2; column-gap:32px; column-rule:1px solid #b8d8c8;&amp;quot;&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;div style=&amp;quot;flex:1; line-height:1.45; color:#006b45; column-count:2; column-gap:32px; column-rule:1px solid #b8d8c8;&amp;quot;&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{{distinguish|quantum computer}}&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;. The mechanical resonator is located to the lower left of the coupling capacitor (small white square).  The qubit is connected to upper right of the coupling capacitor.]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;. The mechanical resonator is located to the lower left of the coupling capacitor (small white square).  The qubit is connected to upper right of the coupling capacitor.]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>WikiHarold</name></author>
	</entry>
	<entry>
		<id>https://handwiki.scholarlywiki.org/index.php?title=Physics:Quantum_machine&amp;diff=10005&amp;oldid=prev</id>
		<title>WikiHarold: Remove imported red links from Quantum page</title>
		<link rel="alternate" type="text/html" href="https://handwiki.scholarlywiki.org/index.php?title=Physics:Quantum_machine&amp;diff=10005&amp;oldid=prev"/>
		<updated>2026-05-23T23:47:40Z</updated>

		<summary type="html">&lt;p&gt;Remove imported red links from Quantum page&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 23:47, 23 May 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l29&quot;&gt;Line 29:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 29:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;In order to demonstrate the quantum mechanical behavior, the team first needed to cool the mechanical resonator until it was in its quantum ground state, the state with the lowest possible energy.  &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;In order to demonstrate the quantum mechanical behavior, the team first needed to cool the mechanical resonator until it was in its quantum ground state, the state with the lowest possible energy.  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A temperature {{nowrap|&amp;lt;math&amp;gt;T \ll \frac{hf}{k}&amp;lt;/math&amp;gt;}} was required, where &amp;lt;math&amp;gt;h&amp;lt;/math&amp;gt; is the Planck constant, &amp;lt;math&amp;gt;f&amp;lt;/math&amp;gt; is the frequency of the resonator, and &amp;lt;math&amp;gt;k&amp;lt;/math&amp;gt; is the Boltzmann constant.&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{{cref|a}} &lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A temperature {{nowrap|&amp;lt;math&amp;gt;T \ll \frac{hf}{k}&amp;lt;/math&amp;gt;}} was required, where &amp;lt;math&amp;gt;h&amp;lt;/math&amp;gt; is the Planck constant, &amp;lt;math&amp;gt;f&amp;lt;/math&amp;gt; is the frequency of the resonator, and &amp;lt;math&amp;gt;k&amp;lt;/math&amp;gt; is the Boltzmann constant.  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Previous teams of researchers had struggled with this stage, as a 1&amp;amp;nbsp;MHz resonator, for example, would need to be cooled to the extremely low temperature of 50&amp;amp;nbsp;μK.&amp;lt;ref&amp;gt;Steven Girvin, http://www.condmatjournalclub.org/wp-content/uploads/2010/04/jccm_april2010_013.pdf {{Webarchive|url=https://web.archive.org/web/20160512161850/http://www.condmatjournalclub.org/wp-content/uploads/2010/04/jccm_april2010_013.pdf |date=2016-05-12 }}&amp;lt;/ref&amp;gt; O&amp;#039;Connell&amp;#039;s team constructed a different type of resonator, a film bulk acoustic resonator,&amp;lt;ref name=nature/&amp;gt; with a much higher resonant frequency (6&amp;amp;nbsp;GHz) which would hence reach its ground state at a (relatively) higher temperature (~0.1&amp;amp;nbsp;K); this temperature could then be easily reached with a dilution refrigerator.&amp;lt;ref name=nature/&amp;gt; In the experiment, the resonator was cooled to 25&amp;amp;nbsp;mK.&amp;lt;ref name=nature/&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Previous teams of researchers had struggled with this stage, as a 1&amp;amp;nbsp;MHz resonator, for example, would need to be cooled to the extremely low temperature of 50&amp;amp;nbsp;μK.&amp;lt;ref&amp;gt;Steven Girvin, http://www.condmatjournalclub.org/wp-content/uploads/2010/04/jccm_april2010_013.pdf {{Webarchive|url=https://web.archive.org/web/20160512161850/http://www.condmatjournalclub.org/wp-content/uploads/2010/04/jccm_april2010_013.pdf |date=2016-05-12 }}&amp;lt;/ref&amp;gt; O&amp;#039;Connell&amp;#039;s team constructed a different type of resonator, a film bulk acoustic resonator,&amp;lt;ref name=nature/&amp;gt; with a much higher resonant frequency (6&amp;amp;nbsp;GHz) which would hence reach its ground state at a (relatively) higher temperature (~0.1&amp;amp;nbsp;K); this temperature could then be easily reached with a dilution refrigerator.&amp;lt;ref name=nature/&amp;gt; In the experiment, the resonator was cooled to 25&amp;amp;nbsp;mK.&amp;lt;ref name=nature/&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l39&quot;&gt;Line 39:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 39:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Notes==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Notes==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{{cnote|a|The ground state energy of an oscillator is proportional to its frequency: see [[Physics:Quantum harmonic oscillator|quantum harmonic oscillator]].}}&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==References==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==References==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{reflist}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{reflist}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l48&quot;&gt;Line 48:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 46:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* {{cite journal |last=Brumfiel|first=Geoff |title=Scientists supersize quantum mechanics |journal=Nature|date=2010-03-17 |url=https://www.nature.com/news/2010/100317/full/news.2010.130.html|doi=10.1038/news.2010.130|doi-access=free|url-access=subscription}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* {{cite journal |last=Brumfiel|first=Geoff |title=Scientists supersize quantum mechanics |journal=Nature|date=2010-03-17 |url=https://www.nature.com/news/2010/100317/full/news.2010.130.html|doi=10.1038/news.2010.130|doi-access=free|url-access=subscription}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* Aaron D. O&amp;#039;Connell, December 2010, [http://www.physics.ucsb.edu/~martinisgroup/theses/OConnell2010.pdf &amp;quot;A Macroscopic Mechanical Resonator Operated in the Quantum Limit&amp;quot;] {{Webarchive|url=https://web.archive.org/web/20110725093755/http://www.physics.ucsb.edu/~martinisgroup/theses/OConnell2010.pdf |date=2011-07-25 }} (Ph.D. thesis)&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* Aaron D. O&amp;#039;Connell, December 2010, [http://www.physics.ucsb.edu/~martinisgroup/theses/OConnell2010.pdf &amp;quot;A Macroscopic Mechanical Resonator Operated in the Quantum Limit&amp;quot;] {{Webarchive|url=https://web.archive.org/web/20110725093755/http://www.physics.ucsb.edu/~martinisgroup/theses/OConnell2010.pdf |date=2011-07-25 }} (Ph.D. thesis)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{{Breakthrough of the Year}}&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{{Quantum information}}&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{{emerging technologies|quantum=yes|other=yes}}&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Category:Quantum mechanics]]&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{Sourceattribution|Quantum machine}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{Sourceattribution|Quantum machine}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>WikiHarold</name></author>
	</entry>
	<entry>
		<id>https://handwiki.scholarlywiki.org/index.php?title=Physics:Quantum_machine&amp;diff=9801&amp;oldid=prev</id>
		<title>WikiHarold: Clean Quantum page image and red links</title>
		<link rel="alternate" type="text/html" href="https://handwiki.scholarlywiki.org/index.php?title=Physics:Quantum_machine&amp;diff=9801&amp;oldid=prev"/>
		<updated>2026-05-23T23:34:48Z</updated>

		<summary type="html">&lt;p&gt;Clean Quantum page image and red links&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 23:34, 23 May 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l12&quot;&gt;Line 12:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 12:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{distinguish|quantum computer}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{distinguish|quantum computer}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;. The mechanical resonator is located to the lower left of the coupling capacitor (small white square).  The &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Qubit|&lt;/del&gt;qubit&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]] &lt;/del&gt;is connected to upper right of the coupling capacitor.]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;. The mechanical resonator is located to the lower left of the coupling capacitor (small white square).  The qubit is connected to upper right of the coupling capacitor.]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A &#039;&#039;&#039;quantum machine&#039;&#039;&#039; is a human-made device whose collective motion follows the laws of [[Physics:Quantum mechanics|quantum mechanics]].  The idea that &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Physics:Macroscopic|&lt;/del&gt;macroscopic&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]] &lt;/del&gt;objects may follow the laws of quantum mechanics dates back to the advent of quantum mechanics in the early 20th century.&amp;lt;ref&amp;gt;{{Cite journal |first=E. |last=Schrödinger |title=The present situation in quantum mechanics |journal=Naturwissenschaften |volume=23 |issue= 48|pages=807–812; 823–828; 844–849 |year=1935 |doi=  10.1007/BF01491891|bibcode = 1935NW.....23..807S |s2cid=206795705 }}&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;{{Cite journal |first=A. J. |last=Leggett |title=Testing the limits of quantum mechanics: motivation, state of play, prospects |journal=J. Phys.: Condens. Matter |volume=14 |issue=15 |pages=R415–R451 |year=2002 |doi=10.1088/0953-8984/14/15/201 |bibcode = 2002JPCM...14R.415L |citeseerx=10.1.1.205.4849 |s2cid=250911999 }}.&amp;lt;/ref&amp;gt;  However, as highlighted by the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Physics:&lt;/del&gt;Schrödinger&#039;s cat&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|Schrödinger&#039;s cat]] [[Thought experiment|&lt;/del&gt;thought experiment&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]]&lt;/del&gt;, quantum effects are not readily observable in large-scale objects. Consequently, quantum states of motion have only been observed in special circumstances at extremely low temperatures.  The fragility of quantum effects in macroscopic objects may arise from rapid [[Physics:Quantum decoherence|quantum decoherence]].&amp;lt;ref&amp;gt;{{Cite journal |first=W. H. |last=Zurek |title=Decoherence, einselection, and the quantum origins of the classical |journal=Reviews of Modern Physics |volume=75 |issue=3 |pages=715–765 |doi=10.1103/RevModPhys.75.715 |year=2003 |bibcode=2003RvMP...75..715Z|arxiv = quant-ph/0105127 |title-link=einselection |s2cid=14759237 }}&amp;lt;/ref&amp;gt; Researchers created the first quantum machine in 2009, and the achievement was named the &quot;Breakthrough of the Year&quot; by &#039;&#039;Science&#039;&#039; in 2010.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A &#039;&#039;&#039;quantum machine&#039;&#039;&#039; is a human-made device whose collective motion follows the laws of [[Physics:Quantum mechanics|quantum mechanics]].  The idea that macroscopic objects may follow the laws of quantum mechanics dates back to the advent of quantum mechanics in the early 20th century.&amp;lt;ref&amp;gt;{{Cite journal |first=E. |last=Schrödinger |title=The present situation in quantum mechanics |journal=Naturwissenschaften |volume=23 |issue= 48|pages=807–812; 823–828; 844–849 |year=1935 |doi=  10.1007/BF01491891|bibcode = 1935NW.....23..807S |s2cid=206795705 }}&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;{{Cite journal |first=A. J. |last=Leggett |title=Testing the limits of quantum mechanics: motivation, state of play, prospects |journal=J. Phys.: Condens. Matter |volume=14 |issue=15 |pages=R415–R451 |year=2002 |doi=10.1088/0953-8984/14/15/201 |bibcode = 2002JPCM...14R.415L |citeseerx=10.1.1.205.4849 |s2cid=250911999 }}.&amp;lt;/ref&amp;gt;  However, as highlighted by the Schrödinger&#039;s cat thought experiment, quantum effects are not readily observable in large-scale objects. Consequently, quantum states of motion have only been observed in special circumstances at extremely low temperatures.  The fragility of quantum effects in macroscopic objects may arise from rapid [[Physics:Quantum decoherence|quantum decoherence]].&amp;lt;ref&amp;gt;{{Cite journal |first=W. H. |last=Zurek |title=Decoherence, einselection, and the quantum origins of the classical |journal=Reviews of Modern Physics |volume=75 |issue=3 |pages=715–765 |doi=10.1103/RevModPhys.75.715 |year=2003 |bibcode=2003RvMP...75..715Z|arxiv = quant-ph/0105127 |title-link=einselection |s2cid=14759237 }}&amp;lt;/ref&amp;gt; Researchers created the first quantum machine in 2009, and the achievement was named the &quot;Breakthrough of the Year&quot; by &#039;&#039;Science&#039;&#039; in 2010.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/div&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/div&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l23&quot;&gt;Line 23:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 23:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==History==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==History==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[File:QuantumMachine SEM MechanicalResonator.jpg|thumb|&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[&lt;/del&gt;Scanning electron micrograph&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]] &lt;/del&gt;of the film bulk acoustic resonator. The mechanically active part of the resonator is supported to the left by two metal leads which act as electrical connections.]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[File:QuantumMachine SEM MechanicalResonator.jpg|thumb|Scanning electron micrograph of the film bulk acoustic resonator. The mechanically active part of the resonator is supported to the left by two metal leads which act as electrical connections.]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The first quantum machine was created on August 4, 2009, by [[Biography:Aaron D. O&#039;Connell|Aaron D. O&#039;Connell]] while pursuing his Ph.D. under the direction of Andrew N. Cleland and [[Biography:John M. Martinis|John M. Martinis]] at the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Organization:&lt;/del&gt;University of California, Santa Barbara&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|University of California, Santa Barbara]]&lt;/del&gt;.  O&#039;Connell and his colleagues &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Engineering:Coupling|&lt;/del&gt;coupled&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]] &lt;/del&gt;together a mechanical &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Physics:Resonator|&lt;/del&gt;resonator&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]]&lt;/del&gt;, similar to a tiny springboard, and a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Qubit|&lt;/del&gt;qubit&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]]&lt;/del&gt;, a device that can be in a [[Physics:Quantum superposition|superposition]] of two quantum states at the same time. They were able to make the resonator vibrate a small amount and a large amount simultaneously—an effect which would be impossible in &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Physics:Classical physics|&lt;/del&gt;classical physics&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]]&lt;/del&gt;. The mechanical resonator was just large enough to see with the naked eye—about as long as the width of a human hair.&amp;lt;ref&amp;gt;{{Cite news |first=Alan |last=Boyle |url=http://cosmiclog.msnbc.msn.com/_news/2010/12/16/5660752-the-year-in-science-a-quantum-leap |archive-url=https://web.archive.org/web/20101219143542/http://cosmiclog.msnbc.msn.com/_news/2010/12/16/5660752-the-year-in-science-a-quantum-leap |url-status=dead |archive-date=2010-12-19 |title=The year in science: a quantum leap |publisher=MSNBC |access-date=2010-12-23 }}&amp;lt;/ref&amp;gt; The work was subsequently published in the journal &#039;&#039;Nature&#039;&#039; in March 2010.&amp;lt;ref name=&quot;nature&quot;&amp;gt;{{Cite journal |first1=A. D. |last1=O’Connell |first2=M. |last2=Hofheinz |first3=M. |last3=Ansmann |first4=R. C. |last4=Bialczak |first5=M. |last5=Lenander |first6=E. |last6=Lucero |first7=M. |last7=Neeley |first8=D. |last8=Sank |first9=H. |last9=Wang |display-authors=8|name-list-style=amp |title=Quantum ground state and single-phonon control of a mechanical resonator |journal=Nature |volume=464 |issue= 7289|pages=697–703 |year=2010 |doi=10.1038/nature08967 |bibcode = 2010Natur.464..697O |pmid=20237473 |s2cid=4412475 }}&amp;lt;/ref&amp;gt;  The journal &#039;&#039;Science&#039;&#039; declared the creation of the first quantum machine to be the &quot;Breakthrough of the Year&quot; of 2010.&amp;lt;ref&amp;gt;{{cite journal |last=Cho|first=Adrian |title=Breakthrough of the Year: The First Quantum Machine |journal=Science |volume=330 |issue=6011 |pages=1604 |year=2010 |doi=10.1126/science.330.6011.1604|bibcode = 2010Sci...330.1604C |pmid=21163978}}&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The first quantum machine was created on August 4, 2009, by [[Biography:Aaron D. O&#039;Connell|Aaron D. O&#039;Connell]] while pursuing his Ph.D. under the direction of Andrew N. Cleland and [[Biography:John M. Martinis|John M. Martinis]] at the University of California, Santa Barbara.  O&#039;Connell and his colleagues coupled together a mechanical resonator, similar to a tiny springboard, and a qubit, a device that can be in a [[Physics:Quantum superposition|superposition]] of two quantum states at the same time. They were able to make the resonator vibrate a small amount and a large amount simultaneously—an effect which would be impossible in classical physics. The mechanical resonator was just large enough to see with the naked eye—about as long as the width of a human hair.&amp;lt;ref&amp;gt;{{Cite news |first=Alan |last=Boyle |url=http://cosmiclog.msnbc.msn.com/_news/2010/12/16/5660752-the-year-in-science-a-quantum-leap |archive-url=https://web.archive.org/web/20101219143542/http://cosmiclog.msnbc.msn.com/_news/2010/12/16/5660752-the-year-in-science-a-quantum-leap |url-status=dead |archive-date=2010-12-19 |title=The year in science: a quantum leap |publisher=MSNBC |access-date=2010-12-23 }}&amp;lt;/ref&amp;gt; The work was subsequently published in the journal &#039;&#039;Nature&#039;&#039; in March 2010.&amp;lt;ref name=&quot;nature&quot;&amp;gt;{{Cite journal |first1=A. D. |last1=O’Connell |first2=M. |last2=Hofheinz |first3=M. |last3=Ansmann |first4=R. C. |last4=Bialczak |first5=M. |last5=Lenander |first6=E. |last6=Lucero |first7=M. |last7=Neeley |first8=D. |last8=Sank |first9=H. |last9=Wang |display-authors=8|name-list-style=amp |title=Quantum ground state and single-phonon control of a mechanical resonator |journal=Nature |volume=464 |issue= 7289|pages=697–703 |year=2010 |doi=10.1038/nature08967 |bibcode = 2010Natur.464..697O |pmid=20237473 |s2cid=4412475 }}&amp;lt;/ref&amp;gt;  The journal &#039;&#039;Science&#039;&#039; declared the creation of the first quantum machine to be the &quot;Breakthrough of the Year&quot; of 2010.&amp;lt;ref&amp;gt;{{cite journal |last=Cho|first=Adrian |title=Breakthrough of the Year: The First Quantum Machine |journal=Science |volume=330 |issue=6011 |pages=1604 |year=2010 |doi=10.1126/science.330.6011.1604|bibcode = 2010Sci...330.1604C |pmid=21163978}}&amp;lt;/ref&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===Cooling to the ground state===&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===Cooling to the ground state===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;In order to demonstrate the quantum mechanical behavior, the team first needed to cool the mechanical resonator until it was in its quantum &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Physics:Ground state|&lt;/del&gt;ground state&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]]&lt;/del&gt;, the state with the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Physics:Zero-point energy|&lt;/del&gt;lowest possible energy&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]]&lt;/del&gt;.  &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;In order to demonstrate the quantum mechanical behavior, the team first needed to cool the mechanical resonator until it was in its quantum ground state, the state with the lowest possible energy.  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A temperature {{nowrap|&amp;lt;math&amp;gt;T \ll \frac{hf}{k}&amp;lt;/math&amp;gt;}} was required, where &amp;lt;math&amp;gt;h&amp;lt;/math&amp;gt; is the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[&lt;/del&gt;Planck constant&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]]&lt;/del&gt;, &amp;lt;math&amp;gt;f&amp;lt;/math&amp;gt; is the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Physics:Frequency|&lt;/del&gt;frequency&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]] &lt;/del&gt;of the resonator, and &amp;lt;math&amp;gt;k&amp;lt;/math&amp;gt; is the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Physics:&lt;/del&gt;Boltzmann constant&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|Boltzmann constant]]&lt;/del&gt;.{{cref|a}}  &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A temperature {{nowrap|&amp;lt;math&amp;gt;T \ll \frac{hf}{k}&amp;lt;/math&amp;gt;}} was required, where &amp;lt;math&amp;gt;h&amp;lt;/math&amp;gt; is the Planck constant, &amp;lt;math&amp;gt;f&amp;lt;/math&amp;gt; is the frequency of the resonator, and &amp;lt;math&amp;gt;k&amp;lt;/math&amp;gt; is the Boltzmann constant.{{cref|a}}  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Previous teams of researchers had struggled with this stage, as a 1&amp;amp;nbsp;MHz resonator, for example, would need to be cooled to the extremely low temperature of 50&amp;amp;nbsp;μK.&amp;lt;ref&amp;gt;Steven Girvin, http://www.condmatjournalclub.org/wp-content/uploads/2010/04/jccm_april2010_013.pdf {{Webarchive|url=https://web.archive.org/web/20160512161850/http://www.condmatjournalclub.org/wp-content/uploads/2010/04/jccm_april2010_013.pdf |date=2016-05-12 }}&amp;lt;/ref&amp;gt; O&#039;Connell&#039;s team constructed a different type of resonator, a film bulk acoustic resonator,&amp;lt;ref name=nature/&amp;gt; with a much higher resonant frequency (6&amp;amp;nbsp;GHz) which would hence reach its ground state at a (relatively) higher temperature (~0.1&amp;amp;nbsp;K); this temperature could then be easily reached with a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Physics:Dilution refrigerator|&lt;/del&gt;dilution refrigerator&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]]&lt;/del&gt;.&amp;lt;ref name=nature/&amp;gt; In the experiment, the resonator was cooled to 25&amp;amp;nbsp;mK.&amp;lt;ref name=nature/&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Previous teams of researchers had struggled with this stage, as a 1&amp;amp;nbsp;MHz resonator, for example, would need to be cooled to the extremely low temperature of 50&amp;amp;nbsp;μK.&amp;lt;ref&amp;gt;Steven Girvin, http://www.condmatjournalclub.org/wp-content/uploads/2010/04/jccm_april2010_013.pdf {{Webarchive|url=https://web.archive.org/web/20160512161850/http://www.condmatjournalclub.org/wp-content/uploads/2010/04/jccm_april2010_013.pdf |date=2016-05-12 }}&amp;lt;/ref&amp;gt; O&#039;Connell&#039;s team constructed a different type of resonator, a film bulk acoustic resonator,&amp;lt;ref name=nature/&amp;gt; with a much higher resonant frequency (6&amp;amp;nbsp;GHz) which would hence reach its ground state at a (relatively) higher temperature (~0.1&amp;amp;nbsp;K); this temperature could then be easily reached with a dilution refrigerator.&amp;lt;ref name=nature/&amp;gt; In the experiment, the resonator was cooled to 25&amp;amp;nbsp;mK.&amp;lt;ref name=nature/&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===Controlling the quantum state===&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;===Controlling the quantum state===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The film bulk acoustic resonator was made of piezoelectric material, so that as it oscillated its changing shape created a changing electric signal, and conversely an electric signal could affect its oscillations. This property enabled the resonator to be &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Engineering:Coupling|&lt;/del&gt;coupled&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]] &lt;/del&gt;with a superconducting &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Phase qubit|&lt;/del&gt;phase qubit&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]]&lt;/del&gt;, a device used in &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Quantum computing|&lt;/del&gt;quantum computing&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]] &lt;/del&gt;whose quantum state can be accurately controlled.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The film bulk acoustic resonator was made of piezoelectric material, so that as it oscillated its changing shape created a changing electric signal, and conversely an electric signal could affect its oscillations. This property enabled the resonator to be coupled with a superconducting phase qubit, a device used in quantum computing whose quantum state can be accurately controlled.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;In quantum mechanics, vibrations are made up of elementary vibrations called phonons. Cooling the resonator to its ground state can be seen as equivalent to removing all of the phonons. The team was then able to transfer individual phonons from the qubit to the resonator. The team was also able to transfer a [[Physics:Quantum superposition|superposition]] state, where the qubit was in a superposition of two states at the same time, onto the mechanical resonator.&amp;lt;ref&amp;gt;Markus Aspelmeyer, &amp;quot;Quantum mechanics: the surf is up&amp;quot;, &amp;#039;&amp;#039;Nature&amp;#039;&amp;#039; 464, 685–686 (1 April 2010)&amp;lt;/ref&amp;gt; This means the resonator &amp;quot;literally vibrated a little and a lot at the same time&amp;quot;, according to the &amp;#039;&amp;#039;American Association for the Advancement of Science&amp;#039;&amp;#039;.&amp;lt;ref&amp;gt;Brandon Bryn, [http://www.aaas.org/news/releases/2010/1216sp_boy.shtml &amp;quot;Science: The breakthroughs of 2010 and insights of the decade&amp;quot;], American Association for the Advancement of Science, December 16, 2010&amp;lt;/ref&amp;gt; The vibrations lasted just a few nanoseconds before being broken down by disruptive outside influences.&amp;lt;ref&amp;gt;Richard Webb, [https://www.newscientist.com/article/dn18669-first-quantum-effects-seen-in-visible-object.html &amp;quot;First quantum effects seen in visible object&amp;quot;], New Scientist, March 17, 2010&amp;lt;/ref&amp;gt; In the &amp;#039;&amp;#039;Nature&amp;#039;&amp;#039; paper, the team concluded &amp;quot;This demonstration provides strong evidence that quantum mechanics applies to a mechanical object large enough to be seen with the naked eye.&amp;quot;&amp;lt;ref name=nature/&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;In quantum mechanics, vibrations are made up of elementary vibrations called phonons. Cooling the resonator to its ground state can be seen as equivalent to removing all of the phonons. The team was then able to transfer individual phonons from the qubit to the resonator. The team was also able to transfer a [[Physics:Quantum superposition|superposition]] state, where the qubit was in a superposition of two states at the same time, onto the mechanical resonator.&amp;lt;ref&amp;gt;Markus Aspelmeyer, &amp;quot;Quantum mechanics: the surf is up&amp;quot;, &amp;#039;&amp;#039;Nature&amp;#039;&amp;#039; 464, 685–686 (1 April 2010)&amp;lt;/ref&amp;gt; This means the resonator &amp;quot;literally vibrated a little and a lot at the same time&amp;quot;, according to the &amp;#039;&amp;#039;American Association for the Advancement of Science&amp;#039;&amp;#039;.&amp;lt;ref&amp;gt;Brandon Bryn, [http://www.aaas.org/news/releases/2010/1216sp_boy.shtml &amp;quot;Science: The breakthroughs of 2010 and insights of the decade&amp;quot;], American Association for the Advancement of Science, December 16, 2010&amp;lt;/ref&amp;gt; The vibrations lasted just a few nanoseconds before being broken down by disruptive outside influences.&amp;lt;ref&amp;gt;Richard Webb, [https://www.newscientist.com/article/dn18669-first-quantum-effects-seen-in-visible-object.html &amp;quot;First quantum effects seen in visible object&amp;quot;], New Scientist, March 17, 2010&amp;lt;/ref&amp;gt; In the &amp;#039;&amp;#039;Nature&amp;#039;&amp;#039; paper, the team concluded &amp;quot;This demonstration provides strong evidence that quantum mechanics applies to a mechanical object large enough to be seen with the naked eye.&amp;quot;&amp;lt;ref name=nature/&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l51&quot;&gt;Line 51:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 51:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{Breakthrough of the Year}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{Breakthrough of the Year}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{Quantum information}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{Quantum information}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{{Quantum mechanics topics}}&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{emerging technologies|quantum=yes|other=yes}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{emerging technologies|quantum=yes|other=yes}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>WikiHarold</name></author>
	</entry>
	<entry>
		<id>https://handwiki.scholarlywiki.org/index.php?title=Physics:Quantum_machine&amp;diff=3284&amp;oldid=prev</id>
		<title>Harold: Restore Quantum article header template</title>
		<link rel="alternate" type="text/html" href="https://handwiki.scholarlywiki.org/index.php?title=Physics:Quantum_machine&amp;diff=3284&amp;oldid=prev"/>
		<updated>2026-05-17T21:52:47Z</updated>

		<summary type="html">&lt;p&gt;Restore Quantum article header template&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 21:52, 17 May 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{Short description|Quantum mechanical macroscopic object}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{Short description|Quantum mechanical macroscopic object}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{{Quantum book backlink|Quantum information and computing}}&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
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&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;div style=&quot;width:280px;&quot;&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;__TOC__&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/div&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;div style=&quot;flex:1; line-height:1.45; color:#006b45; column-count:2; column-gap:32px; column-rule:1px solid #b8d8c8;&quot;&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{distinguish|quantum computer}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{distinguish|quantum computer}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[File:QubitMechanicalResonator.jpg|thumb|The quantum machine, developed by [[Biography:Aaron D. O&#039;Connell|Aaron D. O&#039;Connell]]&lt;/del&gt;. The mechanical resonator is located to the lower left of the coupling capacitor (small white square).  The [[Qubit|qubit]] is connected to upper right of the coupling capacitor.]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;. The mechanical resonator is located to the lower left of the coupling capacitor (small white square).  The [[Qubit|qubit]] is connected to upper right of the coupling capacitor.]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A &amp;#039;&amp;#039;&amp;#039;quantum machine&amp;#039;&amp;#039;&amp;#039; is a human-made device whose collective motion follows the laws of [[Physics:Quantum mechanics|quantum mechanics]].  The idea that [[Physics:Macroscopic|macroscopic]] objects may follow the laws of quantum mechanics dates back to the advent of quantum mechanics in the early 20th century.&amp;lt;ref&amp;gt;{{Cite journal |first=E. |last=Schrödinger |title=The present situation in quantum mechanics |journal=Naturwissenschaften |volume=23 |issue= 48|pages=807–812; 823–828; 844–849 |year=1935 |doi=  10.1007/BF01491891|bibcode = 1935NW.....23..807S |s2cid=206795705 }}&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;{{Cite journal |first=A. J. |last=Leggett |title=Testing the limits of quantum mechanics: motivation, state of play, prospects |journal=J. Phys.: Condens. Matter |volume=14 |issue=15 |pages=R415–R451 |year=2002 |doi=10.1088/0953-8984/14/15/201 |bibcode = 2002JPCM...14R.415L |citeseerx=10.1.1.205.4849 |s2cid=250911999 }}.&amp;lt;/ref&amp;gt;  However, as highlighted by the [[Physics:Schrödinger&amp;#039;s cat|Schrödinger&amp;#039;s cat]] [[Thought experiment|thought experiment]], quantum effects are not readily observable in large-scale objects. Consequently, quantum states of motion have only been observed in special circumstances at extremely low temperatures.  The fragility of quantum effects in macroscopic objects may arise from rapid [[Physics:Quantum decoherence|quantum decoherence]].&amp;lt;ref&amp;gt;{{Cite journal |first=W. H. |last=Zurek |title=Decoherence, einselection, and the quantum origins of the classical |journal=Reviews of Modern Physics |volume=75 |issue=3 |pages=715–765 |doi=10.1103/RevModPhys.75.715 |year=2003 |bibcode=2003RvMP...75..715Z|arxiv = quant-ph/0105127 |title-link=einselection |s2cid=14759237 }}&amp;lt;/ref&amp;gt; Researchers created the first quantum machine in 2009, and the achievement was named the &amp;quot;Breakthrough of the Year&amp;quot; by &amp;#039;&amp;#039;Science&amp;#039;&amp;#039; in 2010.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A &amp;#039;&amp;#039;&amp;#039;quantum machine&amp;#039;&amp;#039;&amp;#039; is a human-made device whose collective motion follows the laws of [[Physics:Quantum mechanics|quantum mechanics]].  The idea that [[Physics:Macroscopic|macroscopic]] objects may follow the laws of quantum mechanics dates back to the advent of quantum mechanics in the early 20th century.&amp;lt;ref&amp;gt;{{Cite journal |first=E. |last=Schrödinger |title=The present situation in quantum mechanics |journal=Naturwissenschaften |volume=23 |issue= 48|pages=807–812; 823–828; 844–849 |year=1935 |doi=  10.1007/BF01491891|bibcode = 1935NW.....23..807S |s2cid=206795705 }}&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;{{Cite journal |first=A. J. |last=Leggett |title=Testing the limits of quantum mechanics: motivation, state of play, prospects |journal=J. Phys.: Condens. Matter |volume=14 |issue=15 |pages=R415–R451 |year=2002 |doi=10.1088/0953-8984/14/15/201 |bibcode = 2002JPCM...14R.415L |citeseerx=10.1.1.205.4849 |s2cid=250911999 }}.&amp;lt;/ref&amp;gt;  However, as highlighted by the [[Physics:Schrödinger&amp;#039;s cat|Schrödinger&amp;#039;s cat]] [[Thought experiment|thought experiment]], quantum effects are not readily observable in large-scale objects. Consequently, quantum states of motion have only been observed in special circumstances at extremely low temperatures.  The fragility of quantum effects in macroscopic objects may arise from rapid [[Physics:Quantum decoherence|quantum decoherence]].&amp;lt;ref&amp;gt;{{Cite journal |first=W. H. |last=Zurek |title=Decoherence, einselection, and the quantum origins of the classical |journal=Reviews of Modern Physics |volume=75 |issue=3 |pages=715–765 |doi=10.1103/RevModPhys.75.715 |year=2003 |bibcode=2003RvMP...75..715Z|arxiv = quant-ph/0105127 |title-link=einselection |s2cid=14759237 }}&amp;lt;/ref&amp;gt; Researchers created the first quantum machine in 2009, and the achievement was named the &amp;quot;Breakthrough of the Year&amp;quot; by &amp;#039;&amp;#039;Science&amp;#039;&amp;#039; in 2010.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/div&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
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&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;div style=&quot;width:300px;&quot;&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[File:QubitMechanicalResonator.jpg|thumb|280px|Aaron D. O&#039;Connell]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
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		<author><name>Harold</name></author>
	</entry>
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		<id>https://handwiki.scholarlywiki.org/index.php?title=Physics:Quantum_machine&amp;diff=867&amp;oldid=prev</id>
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		<author><name>imported&gt;WikiHarold</name></author>
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		<updated>2026-01-27T23:19:27Z</updated>

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&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Short description|Quantum mechanical macroscopic object}}&lt;br /&gt;
{{distinguish|quantum computer}}&lt;br /&gt;
[[File:QubitMechanicalResonator.jpg|thumb|The quantum machine, developed by [[Biography:Aaron D. O&amp;#039;Connell|Aaron D. O&amp;#039;Connell]]. The mechanical resonator is located to the lower left of the coupling capacitor (small white square).  The [[Qubit|qubit]] is connected to upper right of the coupling capacitor.]]&lt;br /&gt;
A &amp;#039;&amp;#039;&amp;#039;quantum machine&amp;#039;&amp;#039;&amp;#039; is a human-made device whose collective motion follows the laws of [[Physics:Quantum mechanics|quantum mechanics]].  The idea that [[Physics:Macroscopic|macroscopic]] objects may follow the laws of quantum mechanics dates back to the advent of quantum mechanics in the early 20th century.&amp;lt;ref&amp;gt;{{Cite journal |first=E. |last=Schrödinger |title=The present situation in quantum mechanics |journal=Naturwissenschaften |volume=23 |issue= 48|pages=807–812; 823–828; 844–849 |year=1935 |doi=  10.1007/BF01491891|bibcode = 1935NW.....23..807S |s2cid=206795705 }}&amp;lt;/ref&amp;gt;&amp;lt;ref&amp;gt;{{Cite journal |first=A. J. |last=Leggett |title=Testing the limits of quantum mechanics: motivation, state of play, prospects |journal=J. Phys.: Condens. Matter |volume=14 |issue=15 |pages=R415–R451 |year=2002 |doi=10.1088/0953-8984/14/15/201 |bibcode = 2002JPCM...14R.415L |citeseerx=10.1.1.205.4849 |s2cid=250911999 }}.&amp;lt;/ref&amp;gt;  However, as highlighted by the [[Physics:Schrödinger&amp;#039;s cat|Schrödinger&amp;#039;s cat]] [[Thought experiment|thought experiment]], quantum effects are not readily observable in large-scale objects. Consequently, quantum states of motion have only been observed in special circumstances at extremely low temperatures.  The fragility of quantum effects in macroscopic objects may arise from rapid [[Physics:Quantum decoherence|quantum decoherence]].&amp;lt;ref&amp;gt;{{Cite journal |first=W. H. |last=Zurek |title=Decoherence, einselection, and the quantum origins of the classical |journal=Reviews of Modern Physics |volume=75 |issue=3 |pages=715–765 |doi=10.1103/RevModPhys.75.715 |year=2003 |bibcode=2003RvMP...75..715Z|arxiv = quant-ph/0105127 |title-link=einselection |s2cid=14759237 }}&amp;lt;/ref&amp;gt; Researchers created the first quantum machine in 2009, and the achievement was named the &amp;quot;Breakthrough of the Year&amp;quot; by &amp;#039;&amp;#039;Science&amp;#039;&amp;#039; in 2010.&lt;br /&gt;
&lt;br /&gt;
==History==&lt;br /&gt;
[[File:QuantumMachine SEM MechanicalResonator.jpg|thumb|[[Scanning electron micrograph]] of the film bulk acoustic resonator. The mechanically active part of the resonator is supported to the left by two metal leads which act as electrical connections.]]&lt;br /&gt;
The first quantum machine was created on August 4, 2009, by [[Biography:Aaron D. O&amp;#039;Connell|Aaron D. O&amp;#039;Connell]] while pursuing his Ph.D. under the direction of Andrew N. Cleland and [[Biography:John M. Martinis|John M. Martinis]] at the [[Organization:University of California, Santa Barbara|University of California, Santa Barbara]].  O&amp;#039;Connell and his colleagues [[Engineering:Coupling|coupled]] together a mechanical [[Physics:Resonator|resonator]], similar to a tiny springboard, and a [[Qubit|qubit]], a device that can be in a [[Physics:Quantum superposition|superposition]] of two quantum states at the same time. They were able to make the resonator vibrate a small amount and a large amount simultaneously—an effect which would be impossible in [[Physics:Classical physics|classical physics]]. The mechanical resonator was just large enough to see with the naked eye—about as long as the width of a human hair.&amp;lt;ref&amp;gt;{{Cite news |first=Alan |last=Boyle |url=http://cosmiclog.msnbc.msn.com/_news/2010/12/16/5660752-the-year-in-science-a-quantum-leap |archive-url=https://web.archive.org/web/20101219143542/http://cosmiclog.msnbc.msn.com/_news/2010/12/16/5660752-the-year-in-science-a-quantum-leap |url-status=dead |archive-date=2010-12-19 |title=The year in science: a quantum leap |publisher=MSNBC |access-date=2010-12-23 }}&amp;lt;/ref&amp;gt; The work was subsequently published in the journal &amp;#039;&amp;#039;Nature&amp;#039;&amp;#039; in March 2010.&amp;lt;ref name=&amp;quot;nature&amp;quot;&amp;gt;{{Cite journal |first1=A. D. |last1=O’Connell |first2=M. |last2=Hofheinz |first3=M. |last3=Ansmann |first4=R. C. |last4=Bialczak |first5=M. |last5=Lenander |first6=E. |last6=Lucero |first7=M. |last7=Neeley |first8=D. |last8=Sank |first9=H. |last9=Wang |display-authors=8|name-list-style=amp |title=Quantum ground state and single-phonon control of a mechanical resonator |journal=Nature |volume=464 |issue= 7289|pages=697–703 |year=2010 |doi=10.1038/nature08967 |bibcode = 2010Natur.464..697O |pmid=20237473 |s2cid=4412475 }}&amp;lt;/ref&amp;gt;  The journal &amp;#039;&amp;#039;Science&amp;#039;&amp;#039; declared the creation of the first quantum machine to be the &amp;quot;Breakthrough of the Year&amp;quot; of 2010.&amp;lt;ref&amp;gt;{{cite journal |last=Cho|first=Adrian |title=Breakthrough of the Year: The First Quantum Machine |journal=Science |volume=330 |issue=6011 |pages=1604 |year=2010 |doi=10.1126/science.330.6011.1604|bibcode = 2010Sci...330.1604C |pmid=21163978}}&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Cooling to the ground state===&lt;br /&gt;
In order to demonstrate the quantum mechanical behavior, the team first needed to cool the mechanical resonator until it was in its quantum [[Physics:Ground state|ground state]], the state with the [[Physics:Zero-point energy|lowest possible energy]]. &lt;br /&gt;
&lt;br /&gt;
A temperature {{nowrap|&amp;lt;math&amp;gt;T \ll \frac{hf}{k}&amp;lt;/math&amp;gt;}} was required, where &amp;lt;math&amp;gt;h&amp;lt;/math&amp;gt; is the [[Planck constant]], &amp;lt;math&amp;gt;f&amp;lt;/math&amp;gt; is the [[Physics:Frequency|frequency]] of the resonator, and &amp;lt;math&amp;gt;k&amp;lt;/math&amp;gt; is the [[Physics:Boltzmann constant|Boltzmann constant]].{{cref|a}} &lt;br /&gt;
&lt;br /&gt;
Previous teams of researchers had struggled with this stage, as a 1&amp;amp;nbsp;MHz resonator, for example, would need to be cooled to the extremely low temperature of 50&amp;amp;nbsp;μK.&amp;lt;ref&amp;gt;Steven Girvin, http://www.condmatjournalclub.org/wp-content/uploads/2010/04/jccm_april2010_013.pdf {{Webarchive|url=https://web.archive.org/web/20160512161850/http://www.condmatjournalclub.org/wp-content/uploads/2010/04/jccm_april2010_013.pdf |date=2016-05-12 }}&amp;lt;/ref&amp;gt; O&amp;#039;Connell&amp;#039;s team constructed a different type of resonator, a film bulk acoustic resonator,&amp;lt;ref name=nature/&amp;gt; with a much higher resonant frequency (6&amp;amp;nbsp;GHz) which would hence reach its ground state at a (relatively) higher temperature (~0.1&amp;amp;nbsp;K); this temperature could then be easily reached with a [[Physics:Dilution refrigerator|dilution refrigerator]].&amp;lt;ref name=nature/&amp;gt; In the experiment, the resonator was cooled to 25&amp;amp;nbsp;mK.&amp;lt;ref name=nature/&amp;gt;&lt;br /&gt;
&lt;br /&gt;
===Controlling the quantum state===&lt;br /&gt;
The film bulk acoustic resonator was made of piezoelectric material, so that as it oscillated its changing shape created a changing electric signal, and conversely an electric signal could affect its oscillations. This property enabled the resonator to be [[Engineering:Coupling|coupled]] with a superconducting [[Phase qubit|phase qubit]], a device used in [[Quantum computing|quantum computing]] whose quantum state can be accurately controlled.&lt;br /&gt;
&lt;br /&gt;
In quantum mechanics, vibrations are made up of elementary vibrations called phonons. Cooling the resonator to its ground state can be seen as equivalent to removing all of the phonons. The team was then able to transfer individual phonons from the qubit to the resonator. The team was also able to transfer a [[Physics:Quantum superposition|superposition]] state, where the qubit was in a superposition of two states at the same time, onto the mechanical resonator.&amp;lt;ref&amp;gt;Markus Aspelmeyer, &amp;quot;Quantum mechanics: the surf is up&amp;quot;, &amp;#039;&amp;#039;Nature&amp;#039;&amp;#039; 464, 685–686 (1 April 2010)&amp;lt;/ref&amp;gt; This means the resonator &amp;quot;literally vibrated a little and a lot at the same time&amp;quot;, according to the &amp;#039;&amp;#039;American Association for the Advancement of Science&amp;#039;&amp;#039;.&amp;lt;ref&amp;gt;Brandon Bryn, [http://www.aaas.org/news/releases/2010/1216sp_boy.shtml &amp;quot;Science: The breakthroughs of 2010 and insights of the decade&amp;quot;], American Association for the Advancement of Science, December 16, 2010&amp;lt;/ref&amp;gt; The vibrations lasted just a few nanoseconds before being broken down by disruptive outside influences.&amp;lt;ref&amp;gt;Richard Webb, [https://www.newscientist.com/article/dn18669-first-quantum-effects-seen-in-visible-object.html &amp;quot;First quantum effects seen in visible object&amp;quot;], New Scientist, March 17, 2010&amp;lt;/ref&amp;gt; In the &amp;#039;&amp;#039;Nature&amp;#039;&amp;#039; paper, the team concluded &amp;quot;This demonstration provides strong evidence that quantum mechanics applies to a mechanical object large enough to be seen with the naked eye.&amp;quot;&amp;lt;ref name=nature/&amp;gt;&lt;br /&gt;
&lt;br /&gt;
==Notes==&lt;br /&gt;
{{cnote|a|The ground state energy of an oscillator is proportional to its frequency: see [[Physics:Quantum harmonic oscillator|quantum harmonic oscillator]].}}&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
{{reflist}}&lt;br /&gt;
&lt;br /&gt;
==External links==&lt;br /&gt;
* {{cite journal |last=Cho|first=Adrian |title=Breakthrough of the Year: The First Quantum Machine |journal=Science |volume=330 |issue=6011 |pages=1604  |date=2010-12-17 |url=https://www.science.org/doi/full/10.1126/science.330.6011.1604 |doi=10.1126/science.330.6011.1604|bibcode = 2010Sci...330.1604C |pmid=21163978|url-access=subscription }}&lt;br /&gt;
* {{cite journal |last=Brumfiel|first=Geoff |title=Scientists supersize quantum mechanics |journal=Nature|date=2010-03-17 |url=https://www.nature.com/news/2010/100317/full/news.2010.130.html|doi=10.1038/news.2010.130|doi-access=free|url-access=subscription}}&lt;br /&gt;
* Aaron D. O&amp;#039;Connell, December 2010, [http://www.physics.ucsb.edu/~martinisgroup/theses/OConnell2010.pdf &amp;quot;A Macroscopic Mechanical Resonator Operated in the Quantum Limit&amp;quot;] {{Webarchive|url=https://web.archive.org/web/20110725093755/http://www.physics.ucsb.edu/~martinisgroup/theses/OConnell2010.pdf |date=2011-07-25 }} (Ph.D. thesis)&lt;br /&gt;
&lt;br /&gt;
{{Breakthrough of the Year}}&lt;br /&gt;
{{Quantum information}}&lt;br /&gt;
{{Quantum mechanics topics}}&lt;br /&gt;
{{emerging technologies|quantum=yes|other=yes}}&lt;br /&gt;
&lt;br /&gt;
[[Category:Quantum mechanics]]&lt;br /&gt;
&lt;br /&gt;
{{Sourceattribution|Quantum machine}}&lt;/div&gt;</summary>
		<author><name>imported&gt;WikiHarold</name></author>
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