Physics:Quantum Gates and circuits - Revision history

WikiHarold: Restore missing Quantum reference definitions

2026-05-24T00:31:09Z

Restore missing Quantum reference definitions

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	Together with single-qubit gates, the CNOT gate forms a universal set for quantum computation.<ref name="NielsenChuang2010" />		Together with single-qubit gates, the CNOT gate forms a universal set for quantum computation.<ref name="NielsenChuang2010">{{cite book \|last1=Nielsen \|first1=Michael A. \|last2=Chuang \|first2=Isaac L. \|title=Quantum Computation and Quantum Information \|publisher=Cambridge University Press \|year=2010}}</ref>

	== Quantum circuits ==		== Quantum circuits ==

Maintenance script: Normalize quantum page header order

2026-05-22T11:32:46Z

Normalize quantum page header order

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	{{Quantum book backlink\|Quantum information and computing}}		{{Quantum book backlink\|Quantum information and computing}}
	{{Quantum article nav\|previous=Physics:Quantum Bell state\|previous label=Bell state\|next=Physics:Quantum BB84\|next label=BB84}}		{{Quantum article nav\|previous=Physics:Quantum Bell state\|previous label=Bell state\|next=Physics:Quantum BB84\|next label=BB84}}

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Maintenance script: Clean Book label remnants and backlink spacing

2026-05-22T11:11:06Z

Clean Book label remnants and backlink spacing

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Maintenance script: Remove hidden BOM characters and direct Book label after Short description

2026-05-22T11:03:18Z

Remove hidden BOM characters and direct Book label after Short description

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	{{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

2026-05-22T10:48:20Z

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: Update Quantum information navigation links

2026-05-21T22:21:53Z

Update Quantum information navigation links

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	{{Quantum book backlink\|Quantum information and computing}}		{{Quantum book backlink\|Quantum information and computing}}
	{{Quantum article nav\|previous=Physics:Quantum ~~Entanglement~~\|previous label=~~Entanglement~~\|next=Physics:Quantum ~~Computing Algorithms in the NISQ Era~~\|next label=~~Computing Algorithms in the NISQ Era~~}}		{{Quantum article nav\|previous=Physics:Quantum Bell state\|previous label=Bell state\|next=Physics:Quantum BB84\|next label=BB84}}

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Maintenance script: Apply Quantum previous-next navigation

2026-05-20T12:25:13Z

Apply Quantum previous-next navigation

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Maintenance script: Improve Book I intro quality

2026-05-20T09:04:15Z

Improve Book I intro quality

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	'''Gates and circuits''' ~~is a Book I topic in the Quantum Collection. Quantum~~ gates are the fundamental operations that act on qubits. They are the building blocks of quantum circuits, which define computations in a quantum computer. Quantum gates are the fundamental operations that act on qubits. They are the building blocks of quantum circuits, which define computations in a quantum computer~~. Quantum states evolve according to unitary transformations:{{cite journal These transformations preserve normalization and correspond to reversible evolution in quantum mechanics~~. Single-qubit gates act on individual qubits and correspond to rotations on the Bloch sphere. X = \begin{pmatrix}0 & 1 \\ 1 & 0\end{pmatrix} Y = \begin{pmatrix}0 & -i \\ i & 0\end{pmatrix} Z = \begin{pmatrix}1 & 0 \\ 0 & -1\end{pmatrix} H = \frac{1}{\sqrt{2}}\begin{pmatrix}1 & 1 \\ 1 & -1\end{pmatrix} These gates create superposition and control phase relationships.		'''Gates and circuits''' quantum gates are the fundamental operations that act on qubits. They are the building blocks of quantum circuits, which define computations in a quantum computer. Quantum gates are the fundamental operations that act on qubits. They are the building blocks of quantum circuits, which define computations in a quantum computer. Single-qubit gates act on individual qubits and correspond to rotations on the Bloch sphere. where U is a unitary operator satisfying These transformations preserve normalization and correspond to reversible evolution in quantum mechanics. These gates create superposition and control phase relationships. The CNOT gate acts on basis states as: Together with single-qubit gates, the CNOT gate forms a universal set for quantum computation.
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Maintenance script: Clean Book I red links, intro, and image slots

2026-05-20T08:15:08Z

Clean Book I red links, intro, and image slots

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	'''~~Quantum gates~~''' are the fundamental operations that act on qubits. They are the building blocks of ~~'''~~quantum circuits~~'''~~, which define computations in a quantum computer.~~<ref name="NielsenChuang2010">~~{{cite ~~book \|last1=Nielsen \|first1=Michael A~~. ~~\|last2=Chuang \|first2=Isaac L~~. ~~\|title~~=~~Quantum Computation and Quantum Information \|publisher~~=~~Cambridge University Press \|year~~=~~2010~~}}~~</ref>~~		'''Gates and circuits''' is a Book I topic in the Quantum Collection. Quantum gates are the fundamental operations that act on qubits. They are the building blocks of quantum circuits, which define computations in a quantum computer. Quantum gates are the fundamental operations that act on qubits. They are the building blocks of quantum circuits, which define computations in a quantum computer. Quantum states evolve according to unitary transformations:{{cite journal These transformations preserve normalization and correspond to reversible evolution in quantum mechanics. Single-qubit gates act on individual qubits and correspond to rotations on the Bloch sphere. X = \begin{pmatrix}0 & 1 \\ 1 & 0\end{pmatrix} Y = \begin{pmatrix}0 & -i \\ i & 0\end{pmatrix} Z = \begin{pmatrix}1 & 0 \\ 0 & -1\end{pmatrix} H = \frac{1}{\sqrt{2}}\begin{pmatrix}1 & 1 \\ 1 & -1\end{pmatrix} These gates create superposition and control phase relationships.
	~~<ref>~~{{~~cite book~~
	~~\| last = Williams~~
	~~\| first = Colin P.~~
	~~\| title = Explorations in Quantum Computing~~
	~~\| publisher = Springer~~
	~~\| year = 2011~~
	~~\| isbn = 978~~-1~~-84628-887-6~~
	}~~}</ref>~~
	</div>		</div>

Maintenance script: Normalize Book I Quantum page structure

2026-05-19T22:49:40Z

Normalize Book I Quantum page structure

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

	{{Sourceattribution\|Quantum ~~gates~~ and circuits\|1}}		{{Sourceattribution\|Physics:Quantum Gates and circuits\|1}}

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	{{Quantum book backlink\|Quantum information and computing}}		{{Quantum book backlink\|Quantum information and computing}}
	{{Quantum article nav\|previous=Physics:Quantum Bell state\|previous label=Bell state\|next=Physics:Quantum BB84\|next label=BB84}}		{{Quantum article nav\|previous=Physics:Quantum Bell state\|previous label=Bell state\|next=Physics:Quantum BB84\|next label=BB84}}