Simple proof of the quantum benchmark fidelity for continuous-variable quantum devices

Abstract

An experimental success criterion for continuous-variable quantum teleportation and memories is to surpass a limit of the average fidelity achieved by the classical measure-and-prepare schemes with respect to a Gaussian distributed set of coherent states. We present a simple proof of the classical limit based on the familiar notions of the state-channel duality and the partial transposition. The present method enables us to produce a quantum-domain criterion associated with a given set of measured fidelities.

References in corpus (23)

• Quantum Cryptography
• Separability Criterion for Density Matrices
• Quantum information with continuous variables
• The Security of Practical Quantum Key Distribution
• Inseparability criterion for continuous variable systems
• Quantum interface between light and atomic ensembles
• Experimental demonstration of quantum memory for light
• Entanglement in continuous variable systems: Recent advances and current perspectives
• General Entanglement Breaking Channels
• Entanglement Measures under Symmetry
• Criteria for Continuous-Variable Quantum Teleportation
• Quantum benchmark for storage and transmission of coherent states
• Optimal state estimation for d-dimensional quantum systems
• Testing Quantum Devices: Practical Entanglement Verification in Bipartite Optical Systems
• Memory for Light as a Quantum Process
• Entanglement verification for quantum key distribution systems with an underlying bipartite qubit-mode structure
• Squeezing the limit: Quantum benchmarks for the teleportation and storage of squeezed states
• Phase-Covariant Quantum Benchmarks
• Fidelity criterion for quantum-domain transmission and storage of coherent states beyond unit-gain constraint
• Experimental Proof of Quantum Nonlocality without Squeezing
• Quantum benchmarks for the storage or transmission of quantum light from minimal resources
• Probing the quantumness of channels with mixed states
• Verification of quantum-domain process using two non-orthogonal states

Cited by in corpus (10)

• Optimal continuous variable quantum teleportation with limited resources
• Optimal quantum operations at zero energy cost
• Quantum amplification and purification of noisy coherent states
• Schmidt-number benchmarks for continuous-variable quantum devices
• Quantum Benchmark via an Uncertainty Product of Canonical Variables
• Composability of partially entanglement breaking channels via entanglement assisted local operations and classical communication
• Einstein-Podolsky-Rosen-like correlation on a coherent-state basis and inseparability of two-mode Gaussian states
• Amplification uncertainty relation for probabilistic amplifiers
• Robust Gaussian Teleportation with Attenuations and Non-unity Gain
• Converting separable conditions to entanglement breaking conditions