Physics:Quantum methods/quantum gate - Revision history

Maintenance script: Normalize quantum page header order

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	{{Short description\|Basic circuit operation in quantum computing}}		{{Short description\|Basic circuit operation in quantum computing}}
	{{Quantum methods backlink\|Quantum information methods}}		{{Quantum methods backlink\|Quantum information methods}}
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	{{Short description\|Basic circuit operation in quantum computing}}II		{{Short description\|Basic circuit operation in quantum computing}}
	{{Quantum methods backlink\|Quantum information methods}}		{{Quantum methods backlink\|Quantum information methods}}

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	{{Short description\|Basic circuit operation in quantum computing}}~~Book III~~		{{Short description\|Basic circuit operation in quantum computing}}II
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	{{Short description\|Basic circuit operation in quantum computing}}		{{Short description\|Basic circuit operation in quantum computing}}Book III
	{{Quantum methods backlink\|Quantum information methods}}		{{Quantum methods backlink\|Quantum information methods}}

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	{{Short description\|Basic circuit operation in quantum computing}}		{{Short description\|Basic circuit operation in quantum computing}}
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	In [[quantum computing]] and the [[quantum circuit]] model, a '''quantum gate''' is a basic circuit operation acting on a small number of [[Physics:Quantum methods/qubit\|qubits]]. Quantum gates are the building blocks of [[Physics:Quantum methods/quantum circuit\|quantum circuits]], in the same way that classical logic gates are building blocks of ordinary digital circuits.<ref>{{Cite book \|last1=Nielsen \|first1=Michael A. \|last2=Chuang \|first2=Isaac L. \|title=Quantum Computation and Quantum Information \|edition=10th anniversary \|publisher=Cambridge University Press \|year=2010 \|isbn=978-1-10700-217-3}}</ref>		In [[Physics:Quantum Computing Algorithms in the NISQ Era\|quantum computing]] and the [[Physics:Quantum methods/quantum circuit\|quantum circuit]] model, a '''quantum gate''' is a basic circuit operation acting on a small number of [[Physics:Quantum methods/qubit\|qubits]]. Quantum gates are the building blocks of [[Physics:Quantum methods/quantum circuit\|quantum circuits]], in the same way that classical logic gates are building blocks of ordinary digital circuits.<ref>{{Cite book \|last1=Nielsen \|first1=Michael A. \|last2=Chuang \|first2=Isaac L. \|title=Quantum Computation and Quantum Information \|edition=10th anniversary \|publisher=Cambridge University Press \|year=2010 \|isbn=978-1-10700-217-3}}</ref>

	Unlike many classical logic gates, quantum gates are reversible. They are represented mathematically by ~~[[unitary matrix\|~~unitary matrices]], so their action preserves the norm of a quantum state and has an inverse operation.<ref>{{cite book \|last=Williams \|first=Colin P. \|title=Explorations in Quantum Computing \|publisher=Springer \|year=2011 \|isbn=978-1-84628-887-6}}</ref> This reversibility is one of the main differences between classical digital logic and quantum logic.		Unlike many classical logic gates, quantum gates are reversible. They are represented mathematically by unitary matrices, so their action preserves the norm of a quantum state and has an inverse operation.<ref>{{cite book \|last=Williams \|first=Colin P. \|title=Explorations in Quantum Computing \|publisher=Springer \|year=2011 \|isbn=978-1-84628-887-6}}</ref> This reversibility is one of the main differences between classical digital logic and quantum logic.

	A gate acting on <math>n</math> qubits is represented by a <math>2^n \times 2^n</math> unitary matrix. The state on which it acts is a vector in a complex Hilbert space. In the usual computational basis, qubit basis states are written as <math>\|0\rangle</math> and <math>\|1\rangle</math>, while multi-qubit states are written as tensor products such as <math>\|00\rangle</math>, <math>\|01\rangle</math>, <math>\|10\rangle</math>, and <math>\|11\rangle</math>.<ref>{{Cite book \|last1=Yanofsky \|first1=Noson S. \|last2=Mannucci \|first2=Mirco \|title=Quantum Computing for Computer Scientists \|publisher=Cambridge University Press \|year=2013 \|isbn=978-0-521-87996-5}}</ref>		A gate acting on <math>n</math> qubits is represented by a <math>2^n \times 2^n</math> unitary matrix. The state on which it acts is a vector in a complex Hilbert space. In the usual computational basis, qubit basis states are written as <math>\|0\rangle</math> and <math>\|1\rangle</math>, while multi-qubit states are written as tensor products such as <math>\|00\rangle</math>, <math>\|01\rangle</math>, <math>\|10\rangle</math>, and <math>\|11\rangle</math>.<ref>{{Cite book \|last1=Yanofsky \|first1=Noson S. \|last2=Mannucci \|first2=Mirco \|title=Quantum Computing for Computer Scientists \|publisher=Cambridge University Press \|year=2013 \|isbn=978-0-521-87996-5}}</ref>

Harold: Remove duplicate Quantum methods backlink

2026-05-17T22:20:45Z

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	{{Short description\|Basic circuit operation in quantum computing}}		{{Short description\|Basic circuit operation in quantum computing}}

	~~{{Quantum book backlink\|Quantum information methods}}~~
	{{Quantum methods backlink\|Quantum information methods}}		{{Quantum methods backlink\|Quantum information methods}}

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	{{Short description\|Basic circuit operation in quantum computing}}		{{Short description\|Basic circuit operation in quantum computing}}Book III
	{{Quantum methods backlink\|Quantum information methods}}		{{Quantum methods backlink\|Quantum information methods}}

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	In [[quantum computing]] and the [[quantum circuit]] model, a '''quantum gate''' is a basic circuit operation acting on a small number of [[Physics:Quantum methods/qubit\|qubits]]. Quantum gates are the building blocks of [[Physics:Quantum methods/quantum circuit\|quantum circuits]], in the same way that classical logic gates are building blocks of ordinary digital circuits.<ref>{{Cite book \|last1=Nielsen \|first1=Michael A. \|last2=Chuang \|first2=Isaac L. \|title=Quantum Computation and Quantum Information \|edition=10th anniversary \|publisher=Cambridge University Press \|year=2010 \|isbn=978-1-10700-217-3}}</ref>		In [[Physics:Quantum Computing Algorithms in the NISQ Era\|quantum computing]] and the [[Physics:Quantum methods/quantum circuit\|quantum circuit]] model, a '''quantum gate''' is a basic circuit operation acting on a small number of [[Physics:Quantum methods/qubit\|qubits]]. Quantum gates are the building blocks of [[Physics:Quantum methods/quantum circuit\|quantum circuits]], in the same way that classical logic gates are building blocks of ordinary digital circuits.<ref>{{Cite book \|last1=Nielsen \|first1=Michael A. \|last2=Chuang \|first2=Isaac L. \|title=Quantum Computation and Quantum Information \|edition=10th anniversary \|publisher=Cambridge University Press \|year=2010 \|isbn=978-1-10700-217-3}}</ref>

	Unlike many classical logic gates, quantum gates are reversible. They are represented mathematically by ~~[[unitary matrix\|~~unitary matrices]], so their action preserves the norm of a quantum state and has an inverse operation.<ref>{{cite book \|last=Williams \|first=Colin P. \|title=Explorations in Quantum Computing \|publisher=Springer \|year=2011 \|isbn=978-1-84628-887-6}}</ref> This reversibility is one of the main differences between classical digital logic and quantum logic.		Unlike many classical logic gates, quantum gates are reversible. They are represented mathematically by unitary matrices, so their action preserves the norm of a quantum state and has an inverse operation.<ref>{{cite book \|last=Williams \|first=Colin P. \|title=Explorations in Quantum Computing \|publisher=Springer \|year=2011 \|isbn=978-1-84628-887-6}}</ref> This reversibility is one of the main differences between classical digital logic and quantum logic.

	A gate acting on <math>n</math> qubits is represented by a <math>2^n \times 2^n</math> unitary matrix. The state on which it acts is a vector in a complex Hilbert space. In the usual computational basis, qubit basis states are written as <math>\|0\rangle</math> and <math>\|1\rangle</math>, while multi-qubit states are written as tensor products such as <math>\|00\rangle</math>, <math>\|01\rangle</math>, <math>\|10\rangle</math>, and <math>\|11\rangle</math>.<ref>{{Cite book \|last1=Yanofsky \|first1=Noson S. \|last2=Mannucci \|first2=Mirco \|title=Quantum Computing for Computer Scientists \|publisher=Cambridge University Press \|year=2013 \|isbn=978-0-521-87996-5}}</ref>		A gate acting on <math>n</math> qubits is represented by a <math>2^n \times 2^n</math> unitary matrix. The state on which it acts is a vector in a complex Hilbert space. In the usual computational basis, qubit basis states are written as <math>\|0\rangle</math> and <math>\|1\rangle</math>, while multi-qubit states are written as tensor products such as <math>\|00\rangle</math>, <math>\|01\rangle</math>, <math>\|10\rangle</math>, and <math>\|11\rangle</math>.<ref>{{Cite book \|last1=Yanofsky \|first1=Noson S. \|last2=Mannucci \|first2=Mirco \|title=Quantum Computing for Computer Scientists \|publisher=Cambridge University Press \|year=2013 \|isbn=978-0-521-87996-5}}</ref>

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	{{Short description\|Basic circuit operation in quantum computing}}		{{Short description\|Basic circuit operation in quantum computing}}

	~~{{Quantum book backlink\|Quantum information methods}}~~
	{{Quantum methods backlink\|Quantum information methods}}		{{Quantum methods backlink\|Quantum information methods}}