Quantum and classical fidelities for Gaussian states

Details Quantum and classical fidelities for Gaussian states Quantum and classical fidelities for Gaussian states

2004-09-16

arxiv.org/abs/quant-ph/0409101v3

J. Opt. Soc. Am. B 24, 355-362 (2007)

Physics

Quantum Physics

9 pages, 5 figures, to be published in J. Opt. Soc. Am. B special issue on Optical Quantum Information Science

Scientific paper

We examine the physical significance of fidelity as a measure of similarity for Gaussian states, by drawing a comparison with its classical counterpart. We find that the relationship between these classical and quantum fidelities is not straightforward, and in general does not seem to provide insight into the physical significance of quantum fidelity. To avoid this ambiguity we propose that the efficacy of quantum information protocols be characterized by determining their transfer function and then calculating the fidelity achievable for a hypothetical pure reference input state.

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