Limits to Perception by Quantum Monitoring with Finite Efficiency

We formulate limits to perception under continuous quantum measurements by comparing the quantum states assigned by agents that have partial access to measurement outcomes. To this end, we provide bounds on the trace distance and the relative entropy between the assigned state and the actual state o...

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Autores principales: Luis Pedro García-Pintos, Adolfo del Campo
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Lenguaje:EN
Publicado: MDPI AG 2021
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Acceso en línea:https://doaj.org/article/ed42b1db502845c3bd05d3fa915b8939
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spelling oai:doaj.org-article:ed42b1db502845c3bd05d3fa915b89392021-11-25T17:30:33ZLimits to Perception by Quantum Monitoring with Finite Efficiency10.3390/e231115271099-4300https://doaj.org/article/ed42b1db502845c3bd05d3fa915b89392021-11-01T00:00:00Zhttps://www.mdpi.com/1099-4300/23/11/1527https://doaj.org/toc/1099-4300We formulate limits to perception under continuous quantum measurements by comparing the quantum states assigned by agents that have partial access to measurement outcomes. To this end, we provide bounds on the trace distance and the relative entropy between the assigned state and the actual state of the system. These bounds are expressed solely in terms of the purity and von Neumann entropy of the state assigned by the agent, and are shown to characterize how an agent’s perception of the system is altered by access to additional information. We apply our results to Gaussian states and to the dynamics of a system embedded in an environment illustrated on a quantum Ising chain.Luis Pedro García-PintosAdolfo del CampoMDPI AGarticlequantum monitoringQuantum Darwinismcontinuous quantum measurementsScienceQAstrophysicsQB460-466PhysicsQC1-999ENEntropy, Vol 23, Iss 1527, p 1527 (2021)
institution DOAJ
collection DOAJ
language EN
topic quantum monitoring
Quantum Darwinism
continuous quantum measurements
Science
Q
Astrophysics
QB460-466
Physics
QC1-999
spellingShingle quantum monitoring
Quantum Darwinism
continuous quantum measurements
Science
Q
Astrophysics
QB460-466
Physics
QC1-999
Luis Pedro García-Pintos
Adolfo del Campo
Limits to Perception by Quantum Monitoring with Finite Efficiency
description We formulate limits to perception under continuous quantum measurements by comparing the quantum states assigned by agents that have partial access to measurement outcomes. To this end, we provide bounds on the trace distance and the relative entropy between the assigned state and the actual state of the system. These bounds are expressed solely in terms of the purity and von Neumann entropy of the state assigned by the agent, and are shown to characterize how an agent’s perception of the system is altered by access to additional information. We apply our results to Gaussian states and to the dynamics of a system embedded in an environment illustrated on a quantum Ising chain.
format article
author Luis Pedro García-Pintos
Adolfo del Campo
author_facet Luis Pedro García-Pintos
Adolfo del Campo
author_sort Luis Pedro García-Pintos
title Limits to Perception by Quantum Monitoring with Finite Efficiency
title_short Limits to Perception by Quantum Monitoring with Finite Efficiency
title_full Limits to Perception by Quantum Monitoring with Finite Efficiency
title_fullStr Limits to Perception by Quantum Monitoring with Finite Efficiency
title_full_unstemmed Limits to Perception by Quantum Monitoring with Finite Efficiency
title_sort limits to perception by quantum monitoring with finite efficiency
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/ed42b1db502845c3bd05d3fa915b8939
work_keys_str_mv AT luispedrogarciapintos limitstoperceptionbyquantummonitoringwithfiniteefficiency
AT adolfodelcampo limitstoperceptionbyquantummonitoringwithfiniteefficiency
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