Phase-Covariant Quantum Benchmarks

Abstract

We give a quantum benchmark for teleportation and quantum storage experiments suited for pure and mixed test states. The benchmark is based on the average fidelity over a family of phase-covariant states and certifies that an experiment can not be emulated by a classical setup, i.e., by a measure-and-prepare scheme. We give an analytical solution for qubits, which shows important differences with standard state estimation approach, and compute the value of the benchmark for coherent and squeezed states, both pure and mixed.

4 pages, 2 figures

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• Probing the quantumness of channels with mixed states
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• Quantum benchmarking with realistic states of light
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• Einstein-Podolsky-Rosen-like correlation on a coherent-state basis and inseparability of two-mode Gaussian states
• Quantum Benchmark via an Uncertainty Product of Canonical Variables
• Estimation of quantum finite mixtures
• Converting separable conditions to entanglement breaking conditions
• Necessary and Sufficient Criteria for Gaussian Quantum Teleportation