Resource Theory of Quantum Memories and Their Faithful Verification with Minimal Assumptions
We provide a complete set of game-theoretic conditions equivalent to the existence of a transformation from one quantum channel into another one, by means of classically correlated preprocessing and postprocessing maps only. Such conditions naturally induce tests to certify that a quantum memory is...
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American Physical Society
2018-05-01
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Series: | Physical Review X |
Online Access: | http://doi.org/10.1103/PhysRevX.8.021033 |
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doaj-6957e9e5d6b245118e6442141bfc92612020-11-25T00:02:17ZengAmerican Physical SocietyPhysical Review X2160-33082018-05-018202103310.1103/PhysRevX.8.021033Resource Theory of Quantum Memories and Their Faithful Verification with Minimal AssumptionsDenis RossetFrancesco BuscemiYeong-Cherng LiangWe provide a complete set of game-theoretic conditions equivalent to the existence of a transformation from one quantum channel into another one, by means of classically correlated preprocessing and postprocessing maps only. Such conditions naturally induce tests to certify that a quantum memory is capable of storing quantum information, as opposed to memories that can be simulated by measurement and state preparation (corresponding to entanglement-breaking channels). These results are formulated as a resource theory of genuine quantum memories (correlated in time), mirroring the resource theory of entanglement in quantum states (correlated spatially). As the set of conditions is complete, the corresponding tests are faithful, in the sense that any non-entanglement-breaking channel can be certified. Moreover, they only require the assumption of trusted inputs, known to be unavoidable for quantum channel verification. As such, the tests we propose are intrinsically different from the usual process tomography, for which the probes of both the input and the output of the channel must be trusted. An explicit construction is provided and shown to be experimentally realizable, even in the presence of arbitrarily strong losses in the memory or detectors.http://doi.org/10.1103/PhysRevX.8.021033 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Denis Rosset Francesco Buscemi Yeong-Cherng Liang |
spellingShingle |
Denis Rosset Francesco Buscemi Yeong-Cherng Liang Resource Theory of Quantum Memories and Their Faithful Verification with Minimal Assumptions Physical Review X |
author_facet |
Denis Rosset Francesco Buscemi Yeong-Cherng Liang |
author_sort |
Denis Rosset |
title |
Resource Theory of Quantum Memories and Their Faithful Verification with Minimal Assumptions |
title_short |
Resource Theory of Quantum Memories and Their Faithful Verification with Minimal Assumptions |
title_full |
Resource Theory of Quantum Memories and Their Faithful Verification with Minimal Assumptions |
title_fullStr |
Resource Theory of Quantum Memories and Their Faithful Verification with Minimal Assumptions |
title_full_unstemmed |
Resource Theory of Quantum Memories and Their Faithful Verification with Minimal Assumptions |
title_sort |
resource theory of quantum memories and their faithful verification with minimal assumptions |
publisher |
American Physical Society |
series |
Physical Review X |
issn |
2160-3308 |
publishDate |
2018-05-01 |
description |
We provide a complete set of game-theoretic conditions equivalent to the existence of a transformation from one quantum channel into another one, by means of classically correlated preprocessing and postprocessing maps only. Such conditions naturally induce tests to certify that a quantum memory is capable of storing quantum information, as opposed to memories that can be simulated by measurement and state preparation (corresponding to entanglement-breaking channels). These results are formulated as a resource theory of genuine quantum memories (correlated in time), mirroring the resource theory of entanglement in quantum states (correlated spatially). As the set of conditions is complete, the corresponding tests are faithful, in the sense that any non-entanglement-breaking channel can be certified. Moreover, they only require the assumption of trusted inputs, known to be unavoidable for quantum channel verification. As such, the tests we propose are intrinsically different from the usual process tomography, for which the probes of both the input and the output of the channel must be trusted. An explicit construction is provided and shown to be experimentally realizable, even in the presence of arbitrarily strong losses in the memory or detectors. |
url |
http://doi.org/10.1103/PhysRevX.8.021033 |
work_keys_str_mv |
AT denisrosset resourcetheoryofquantummemoriesandtheirfaithfulverificationwithminimalassumptions AT francescobuscemi resourcetheoryofquantummemoriesandtheirfaithfulverificationwithminimalassumptions AT yeongcherngliang resourcetheoryofquantummemoriesandtheirfaithfulverificationwithminimalassumptions |
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