Phase-Covariant Quantum Benchmarks

TL;DR

This paper introduces a quantum benchmark based on average fidelity over phase-covariant states, enabling the certification of quantum teleportation and storage experiments against classical emulation, with analytical solutions for qubits and calculations for various states.

Contribution

It provides a new phase-covariant quantum benchmark for teleportation and storage, with analytical solutions for qubits and calculations for coherent and squeezed states.

Findings

Analytical benchmark for qubits showing differences from standard state estimation.

Benchmark values computed for coherent and squeezed states, both pure and mixed.

Certifies experiments cannot be simulated by classical measure-and-prepare schemes.

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.