Quantum benchmarks for pure single-mode Gaussian states

Teleportation and storage of continuous variable states of light and atoms are essential building blocks for the realization of large-scale quantum networks. Rigorous validation of these implementations require identifying, and surpassing, benchmarks set by the most effective strategies attainable w...

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Main Authors: Chiribella, Giulio, Adesso, Gerardo
Format: Article
Published: American Physical Society 2014
Online Access:https://eprints.nottingham.ac.uk/47227/
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author Chiribella, Giulio
Adesso, Gerardo
author_facet Chiribella, Giulio
Adesso, Gerardo
author_sort Chiribella, Giulio
building Nottingham Research Data Repository
collection Online Access
description Teleportation and storage of continuous variable states of light and atoms are essential building blocks for the realization of large-scale quantum networks. Rigorous validation of these implementations require identifying, and surpassing, benchmarks set by the most effective strategies attainable without the use of quantum resources. Such benchmarks have been established for special families of input states, like coherent states and particular subclasses of squeezed states. Here we solve the longstanding problem of defining quantum benchmarks for general pure Gaussian single-mode states with arbitrary phase, displacement, and squeezing, randomly sampled according to a realistic prior distribution. As a special case, we show that the fidelity benchmark for teleporting squeezed states with totally random phase and squeezing degree is 1/2, equal to the corresponding one for coherent states. We discuss the use of entangled resources to beat the benchmarks in experiments.
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spelling nottingham-472272020-05-04T16:42:06Z https://eprints.nottingham.ac.uk/47227/ Quantum benchmarks for pure single-mode Gaussian states Chiribella, Giulio Adesso, Gerardo Teleportation and storage of continuous variable states of light and atoms are essential building blocks for the realization of large-scale quantum networks. Rigorous validation of these implementations require identifying, and surpassing, benchmarks set by the most effective strategies attainable without the use of quantum resources. Such benchmarks have been established for special families of input states, like coherent states and particular subclasses of squeezed states. Here we solve the longstanding problem of defining quantum benchmarks for general pure Gaussian single-mode states with arbitrary phase, displacement, and squeezing, randomly sampled according to a realistic prior distribution. As a special case, we show that the fidelity benchmark for teleporting squeezed states with totally random phase and squeezing degree is 1/2, equal to the corresponding one for coherent states. We discuss the use of entangled resources to beat the benchmarks in experiments. American Physical Society 2014-01-07 Article PeerReviewed Chiribella, Giulio and Adesso, Gerardo (2014) Quantum benchmarks for pure single-mode Gaussian states. Physical Review Letters, 112 (1). 010501-1-010501-6. ISSN 1079-7114 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.112.010501 doi:10.1103/PhysRevLett.112.010501 doi:10.1103/PhysRevLett.112.010501
spellingShingle Chiribella, Giulio
Adesso, Gerardo
Quantum benchmarks for pure single-mode Gaussian states
title Quantum benchmarks for pure single-mode Gaussian states
title_full Quantum benchmarks for pure single-mode Gaussian states
title_fullStr Quantum benchmarks for pure single-mode Gaussian states
title_full_unstemmed Quantum benchmarks for pure single-mode Gaussian states
title_short Quantum benchmarks for pure single-mode Gaussian states
title_sort quantum benchmarks for pure single-mode gaussian states
url https://eprints.nottingham.ac.uk/47227/
https://eprints.nottingham.ac.uk/47227/
https://eprints.nottingham.ac.uk/47227/