A new local invariant for quantum gates

dc.creatorKoponen, Laura
dc.creatorBergholm, Ville
dc.creatorSalomaa, Martti M.
dc.date2005-03-16
dc.date.accessioned2026-07-07T07:50:31Z
dc.date.available2026-07-07T07:50:31Z
dc.descriptionIn this paper we study the properties of two-qubit gates. We review the most common parameterizations for the local equivalence classes of two-qubit gates and the connections between them. We then introduce a new discrete local invariant, namely the number of local degrees of freedom that a gate can bind. The value of this invariant is calculated analytically for all the local equivalence classes of two-qubit gates. We find that almost all two-qubit gates can bind the full six local degrees of freedom and are in this sense more effective than the controlled-NOT gate, which only can bind four local degrees of freedom.
dc.description8 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0503141
dc.identifierhttp://arxiv.org/abs/quant-ph/0503141
dc.identifierQuant. Inf. Comp. 6, 58 (2006)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125188
dc.subjectQuantum Physics
dc.titleA new local invariant for quantum gates
dc.typetext

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