A new local invariant for quantum gates

Details A new local invariant for quantum gates A new local invariant for quantum gates

2005-03-16

arxiv.org/abs/quant-ph/0503141v1

Quant. Inf. Comp. 6, 58 (2006)

Physics

Quantum Physics

8 pages, 2 figures

Scientific paper

In 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.

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