Jordan products of quantum channels and their compatibility

Establishing whether two quantum channels are compatible is a fundamental problem in quantum information. Here, the authors prove its equivalence to the quantum state marginal problem, introduce an efficient way to solve both, and draw further connection to the measurement compatibility problem.

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Bibliographic Details
Main Authors:	Mark Girard, Martin Plávala, Jamie Sikora
Format:	article
Language:	EN
Published:	Nature Portfolio 2021
Subjects:	Science Q
Online Access:	https://doaj.org/article/ccdfbd73dd2a420d83deda0e7890f1d4
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spelling	oai:doaj.org-article:ccdfbd73dd2a420d83deda0e7890f1d42021-12-02T14:21:20ZJordan products of quantum channels and their compatibility10.1038/s41467-021-22275-02041-1723https://doaj.org/article/ccdfbd73dd2a420d83deda0e7890f1d42021-04-01T00:00:00Zhttps://doi.org/10.1038/s41467-021-22275-0https://doaj.org/toc/2041-1723Establishing whether two quantum channels are compatible is a fundamental problem in quantum information. Here, the authors prove its equivalence to the quantum state marginal problem, introduce an efficient way to solve both, and draw further connection to the measurement compatibility problem.Mark GirardMartin PlávalaJamie SikoraNature PortfolioarticleScienceQENNature Communications, Vol 12, Iss 1, Pp 1-6 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Science Q
spellingShingle	Science Q Mark Girard Martin Plávala Jamie Sikora Jordan products of quantum channels and their compatibility
description	Establishing whether two quantum channels are compatible is a fundamental problem in quantum information. Here, the authors prove its equivalence to the quantum state marginal problem, introduce an efficient way to solve both, and draw further connection to the measurement compatibility problem.
format	article
author	Mark Girard Martin Plávala Jamie Sikora
author_facet	Mark Girard Martin Plávala Jamie Sikora
author_sort	Mark Girard
title	Jordan products of quantum channels and their compatibility
title_short	Jordan products of quantum channels and their compatibility
title_full	Jordan products of quantum channels and their compatibility
title_fullStr	Jordan products of quantum channels and their compatibility
title_full_unstemmed	Jordan products of quantum channels and their compatibility
title_sort	jordan products of quantum channels and their compatibility
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/ccdfbd73dd2a420d83deda0e7890f1d4
work_keys_str_mv	AT markgirard jordanproductsofquantumchannelsandtheircompatibility AT martinplavala jordanproductsofquantumchannelsandtheircompatibility AT jamiesikora jordanproductsofquantumchannelsandtheircompatibility
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Jordan products of quantum channels and their compatibility

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