Fidelity criterion for quantum-domain transmission and storage of coherent states beyond unit-gain constraint

Abstract

We generalize the experimental success criterion for quantum teleportation/memory in continuous-variable quantum systems to be suitable for non-unit-gain condition by considering attenuation/amplification of the coherent-state amplitude. The new criterion can be used for a non-ideal quantum memory and long distance quantum communication as well as quantum devices with amplification process. It is also shown that the framework to measure the average fidelity is capable of detecting all Gaussian channels in quantum domain.

arXiv comment4pages, No figures, Accepted for publication in PRL

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• Probing the quantumness of channels with mixed states
• Quantum amplification and purification of noisy coherent states
• Quantum benchmarking with realistic states of light
• Fundamental quantum limits for practical devices
• Simple proof of the quantum benchmark fidelity for continuous-variable quantum devices
• Continuous-variable quantum state designs: theory and applications
• Test one to test many: a unified approach to quantum benchmarks
• Optimal asymptotic cloning machines
• Schmidt-number benchmark for genuine quantum memories and gates
• Schmidt-number benchmarks for continuous-variable quantum devices
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• Einstein-Podolsky-Rosen-like correlation on a coherent-state basis and inseparability of two-mode Gaussian states
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• Quantum Benchmark via an Uncertainty Product of Canonical Variables
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• Certification of continuous-variable gates using average channel-fidelity witnesses
• Quantum Minimax Theorem
• Converting separable conditions to entanglement breaking conditions
• Security against collective attacks for a continuous-variable quantum key distribution protocol using homodyne detection and postselection