Physics:Quantum information theory - Revision history

Maintenance script: Normalize quantum page header order

2026-05-22T11:32:42Z

Normalize quantum page header order

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	{{Quantum book backlink\|Quantum information and computing}}		{{Quantum book backlink\|Quantum information and computing}}
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Maintenance script: Clean Book label remnants and backlink spacing

2026-05-22T11:11:02Z

Clean Book label remnants and backlink spacing

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	{{Quantum book backlink\|Quantum information and computing}}		{{Quantum book backlink\|Quantum information and computing}}
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Maintenance script: Remove hidden BOM characters and direct Book label after Short description

2026-05-22T11:03:15Z

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	{{Short description\|Quantum Collection topic on Quantum information theory}}~~Book I~~		{{Short description\|Quantum Collection topic on Quantum information theory}}

	{{Quantum book backlink\|Quantum information and computing}}		{{Quantum book backlink\|Quantum information and computing}}

Maintenance script: Clean Short description prefix and add Book I label

2026-05-22T10:48:17Z

Clean Short description prefix and add Book I label

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	{{Quantum book backlink\|Quantum information and computing}}		{{Quantum book backlink\|Quantum information and computing}}

Maintenance script: Apply continuous Quantum previous-next navigation

2026-05-20T12:35:38Z

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Maintenance script: Apply Quantum previous-next navigation

2026-05-20T12:25:08Z

Apply Quantum previous-next navigation

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Maintenance script: Clean missing Book I links and template output

2026-05-20T08:47:28Z

Clean missing Book I links and template output

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	* <math>\|1\rangle</math> with probability <math>\|\beta\|^2</math>		* <math>\|1\rangle</math> with probability <math>\|\beta\|^2</math>

	This probabilistic interpretation follows from the ~~[[Wikipedia:~~Born rule~~\|Born rule]]~~.		This probabilistic interpretation follows from the Born rule.

	=== Bloch sphere ===		=== Bloch sphere ===

	A qubit state can be represented geometrically on the ~~[[Wikipedia:~~Bloch sphere~~\|Bloch sphere]]~~:		A qubit state can be represented geometrically on the Bloch sphere:

	<math>		<math>

Maintenance script: Normalize Book I Quantum page structure

2026-05-19T22:49:37Z

Normalize Book I Quantum page structure

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	{{Author\|Harold Foppele}}		{{Author\|Harold Foppele}}

	{{Sourceattribution\|Quantum information theory\|1}}		{{Sourceattribution\|Physics:Quantum information theory\|1}}

Harold: Normalize remaining Quantum body heading levels

2026-05-17T22:11:07Z

Normalize remaining Quantum body heading levels

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	It is one of the most distinctive and powerful features of quantum mechanics.		It is one of the most distinctive and powerful features of quantum mechanics.

	=Quantum entropy=		== Quantum entropy ==

	'''Quantum entropy''' quantifies the amount of uncertainty or information contained in a quantum state. The central concept is the '''von Neumann entropy''', which generalizes classical Shannon entropy to quantum systems.<ref>{{cite book \|last=Nielsen \|first=Michael A. \|last2=Chuang \|first2=Isaac L. \|title=Quantum Computation and Quantum Information \|publisher=Cambridge University Press \|year=2010}}</ref>		'''Quantum entropy''' quantifies the amount of uncertainty or information contained in a quantum state. The central concept is the '''von Neumann entropy''', which generalizes classical Shannon entropy to quantum systems.<ref>{{cite book \|last=Nielsen \|first=Michael A. \|last2=Chuang \|first2=Isaac L. \|title=Quantum Computation and Quantum Information \|publisher=Cambridge University Press \|year=2010}}</ref>

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	* is fundamental in quantum communication theory.		* is fundamental in quantum communication theory.

	=Holevo bound=		== Holevo bound ==

	The '''Holevo bound''' is a fundamental result in quantum information theory that limits the amount of classical information that can be extracted from a quantum system. It shows that even though quantum states can exist in superpositions, the accessible classical information is restricted.<ref>{{cite journal \|last=Holevo \|first=A. S. \|title=Bounds for the quantity of information transmitted by a quantum communication channel \|journal=Problemy Peredachi Informatsii \|volume=9 \|year=1973}}</ref>		The '''Holevo bound''' is a fundamental result in quantum information theory that limits the amount of classical information that can be extracted from a quantum system. It shows that even though quantum states can exist in superpositions, the accessible classical information is restricted.<ref>{{cite journal \|last=Holevo \|first=A. S. \|title=Bounds for the quantity of information transmitted by a quantum communication channel \|journal=Problemy Peredachi Informatsii \|volume=9 \|year=1973}}</ref>

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	It is one of the key results connecting quantum mechanics with information theory.<ref>{{cite book \|last=Nielsen \|first=Michael A. \|last2=Chuang \|first2=Isaac L. \|title=Quantum Computation and Quantum Information \|publisher=Cambridge University Press \|year=2010}}</ref>		It is one of the key results connecting quantum mechanics with information theory.<ref>{{cite book \|last=Nielsen \|first=Michael A. \|last2=Chuang \|first2=Isaac L. \|title=Quantum Computation and Quantum Information \|publisher=Cambridge University Press \|year=2010}}</ref>

	=No-cloning theorem=		== No-cloning theorem ==

	The '''no-cloning theorem''' states that it is impossible to create an identical copy of an arbitrary unknown quantum state. This is a fundamental result of quantum mechanics with important consequences for quantum information theory.<ref>{{cite journal \|last=Wootters \|first=W. K. \|last2=Zurek \|first2=W. H. \|title=A single quantum cannot be cloned \|journal=Nature \|volume=299 \|year=1982}}</ref>		The '''no-cloning theorem''' states that it is impossible to create an identical copy of an arbitrary unknown quantum state. This is a fundamental result of quantum mechanics with important consequences for quantum information theory.<ref>{{cite journal \|last=Wootters \|first=W. K. \|last2=Zurek \|first2=W. H. \|title=A single quantum cannot be cloned \|journal=Nature \|volume=299 \|year=1982}}</ref>

Harold: Normalize selected Quantum body heading level

2026-05-17T22:08:27Z

Normalize selected Quantum body heading level

← Older revision		Revision as of 22:08, 17 May 2026
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	These operations enable interference, entanglement, and algorithmic processing of quantum information.		These operations enable interference, entanglement, and algorithmic processing of quantum information.
	=Entanglement=		== Entanglement ==

	'''Entanglement''' is a uniquely quantum phenomenon in which the state of a composite system cannot be described as a product of states of its individual subsystems. It is one of the central features distinguishing quantum from classical information theory.<ref>{{cite book \|last=Nielsen \|first=Michael A. \|last2=Chuang \|first2=Isaac L. \|title=Quantum Computation and Quantum Information \|publisher=Cambridge University Press \|year=2010}}</ref>		'''Entanglement''' is a uniquely quantum phenomenon in which the state of a composite system cannot be described as a product of states of its individual subsystems. It is one of the central features distinguishing quantum from classical information theory.<ref>{{cite book \|last=Nielsen \|first=Michael A. \|last2=Chuang \|first2=Isaac L. \|title=Quantum Computation and Quantum Information \|publisher=Cambridge University Press \|year=2010}}</ref>

← Older revision		Revision as of 11:11, 22 May 2026
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	{{Short description\|Quantum Collection topic on Quantum information theory}}		{{Short description\|Quantum Collection topic on Quantum information theory}}

	{{Quantum book backlink\|Quantum information and computing}}		{{Quantum book backlink\|Quantum information and computing}}
	{{Quantum article nav\|previous=Physics:Quantum limit\|previous label=Limit\|next=Physics:Quantum Qubit\|next label=Qubit}}		{{Quantum article nav\|previous=Physics:Quantum limit\|previous label=Limit\|next=Physics:Quantum Qubit\|next label=Qubit}}