A Fisher Information-Based Incompatibility Criterion for Quantum Channels

We introduce a new incompatibility criterion for quantum channels based on the notion of (quantum) Fisher information. Our construction is based on a similar criterion for quantum measurements put forward by H. Zhu. We then study the power of the incompatibility criterion in different scenarios. Fir...

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Detalles Bibliográficos
Autores principales: Zhang, Qing-Hua, Nechita, Ion
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9222584/
https://www.ncbi.nlm.nih.gov/pubmed/35741526
http://dx.doi.org/10.3390/e24060805
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author Zhang, Qing-Hua
Nechita, Ion
author_facet Zhang, Qing-Hua
Nechita, Ion
author_sort Zhang, Qing-Hua
collection PubMed
description We introduce a new incompatibility criterion for quantum channels based on the notion of (quantum) Fisher information. Our construction is based on a similar criterion for quantum measurements put forward by H. Zhu. We then study the power of the incompatibility criterion in different scenarios. First, we prove the first analytical conditions for the incompatibility of two Schur channels. Then, we study the incompatibility structure of a tuple of depolarizing channels, comparing the newly introduced criterion with the known results from asymmetric quantum cloning.
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spelling pubmed-92225842022-06-24 A Fisher Information-Based Incompatibility Criterion for Quantum Channels Zhang, Qing-Hua Nechita, Ion Entropy (Basel) Article We introduce a new incompatibility criterion for quantum channels based on the notion of (quantum) Fisher information. Our construction is based on a similar criterion for quantum measurements put forward by H. Zhu. We then study the power of the incompatibility criterion in different scenarios. First, we prove the first analytical conditions for the incompatibility of two Schur channels. Then, we study the incompatibility structure of a tuple of depolarizing channels, comparing the newly introduced criterion with the known results from asymmetric quantum cloning. MDPI 2022-06-08 /pmc/articles/PMC9222584/ /pubmed/35741526 http://dx.doi.org/10.3390/e24060805 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Zhang, Qing-Hua
Nechita, Ion
A Fisher Information-Based Incompatibility Criterion for Quantum Channels
title A Fisher Information-Based Incompatibility Criterion for Quantum Channels
title_full A Fisher Information-Based Incompatibility Criterion for Quantum Channels
title_fullStr A Fisher Information-Based Incompatibility Criterion for Quantum Channels
title_full_unstemmed A Fisher Information-Based Incompatibility Criterion for Quantum Channels
title_short A Fisher Information-Based Incompatibility Criterion for Quantum Channels
title_sort fisher information-based incompatibility criterion for quantum channels
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9222584/
https://www.ncbi.nlm.nih.gov/pubmed/35741526
http://dx.doi.org/10.3390/e24060805
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