Gate fidelity fluctuations and quantum process invariants

Details Gate fidelity fluctuations and quantum process invariants Gate fidelity fluctuations and quantum process invariants

2009-10-07

arxiv.org/abs/0910.1315v3

Phys. Rev. A 84, 012309 (2011)

Physics

Quantum Physics

25 pages, no figures, minor corrections made

Scientific paper

We characterize the quantum gate fidelity in a state-independent manner by giving an explicit basis-independent expression for its variance which can be extended to calculate all higher order moments. Using these results we obtain a simple expression for the variance of a single qubit system and deduce the asymptotic behavior for large-dimensional quantum systems. Applications of these results to quantum chaos and randomized benchmarking are discussed.

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