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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Nature Portfolio
2021
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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) |
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Science Q Mark Girard Martin Plávala Jamie Sikora Jordan products of quantum channels and their compatibility |
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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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