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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MDPI AG
2021
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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) |
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DOAJ |
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quantum monitoring Quantum Darwinism continuous quantum measurements Science Q Astrophysics QB460-466 Physics QC1-999 |
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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 |
_version_ |
1718412319867797504 |