Quantum channel marginal problem

Given a set of local dynamics, are they compatible with a global dynamics? We systematically formulate these questions as quantum channel marginal problems. These problems are strongly connected to the generalization of the no-signaling conditions to quantized inputs and outputs and can be understoo...

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Detalhes bibliográficos
Autores: Hsieh, Chung Yun|||0000-0002-2512-0274, Lostaglio, Matteo, Acín dal Maschio, Antonio
Tipo de documento: artigo
Data de publicação:2022
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositório:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglês
OAI Identifier:oai:upcommons.upc.edu:2117/369312
Acesso em linha:https://hdl.handle.net/2117/369312
https://dx.doi.org/10.1103/PhysRevResearch.4.013249
Access Level:Acceso aberto
Palavra-chave:Quantum theory
Resource theories
Quàntums, Teoria dels
Àrees temàtiques de la UPC::Física
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spelling Quantum channel marginal problemHsieh, Chung Yun|||0000-0002-2512-0274Lostaglio, MatteoAcín dal Maschio, AntonioQuantum theoryResource theoriesQuàntums, Teoria delsÀrees temàtiques de la UPC::FísicaGiven a set of local dynamics, are they compatible with a global dynamics? We systematically formulate these questions as quantum channel marginal problems. These problems are strongly connected to the generalization of the no-signaling conditions to quantized inputs and outputs and can be understood as a general toolkit to study notions of quantum incompatibility. In fact, they include as special cases channel broadcasting, channel extendibility, measurement compatibility, and state marginal problems. After defining the notion of compatibility between global and local dynamics, we provide a solution to the channel marginal problem that takes the form of a semidefinite program. Using this formulation, we construct channel incompatibility witnesses, discuss their operational interpretation in terms of an advantage for a state-discrimination task, prove a gap between classical and quantum dynamical marginal problems, and show that the latter is irreducible to state marginal problems.American Physical Society20222022-03-3120222022-06-29journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/369312https://dx.doi.org/10.1103/PhysRevResearch.4.013249reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/3693122026-05-27T15:37:01Z
dc.title.none.fl_str_mv Quantum channel marginal problem
title Quantum channel marginal problem
spellingShingle Quantum channel marginal problem
Hsieh, Chung Yun|||0000-0002-2512-0274
Quantum theory
Resource theories
Quàntums, Teoria dels
Àrees temàtiques de la UPC::Física
title_short Quantum channel marginal problem
title_full Quantum channel marginal problem
title_fullStr Quantum channel marginal problem
title_full_unstemmed Quantum channel marginal problem
title_sort Quantum channel marginal problem
dc.creator.none.fl_str_mv Hsieh, Chung Yun|||0000-0002-2512-0274
Lostaglio, Matteo
Acín dal Maschio, Antonio
author Hsieh, Chung Yun|||0000-0002-2512-0274
author_facet Hsieh, Chung Yun|||0000-0002-2512-0274
Lostaglio, Matteo
Acín dal Maschio, Antonio
author_role author
author2 Lostaglio, Matteo
Acín dal Maschio, Antonio
author2_role author
author
dc.subject.none.fl_str_mv Quantum theory
Resource theories
Quàntums, Teoria dels
Àrees temàtiques de la UPC::Física
topic Quantum theory
Resource theories
Quàntums, Teoria dels
Àrees temàtiques de la UPC::Física
description Given a set of local dynamics, are they compatible with a global dynamics? We systematically formulate these questions as quantum channel marginal problems. These problems are strongly connected to the generalization of the no-signaling conditions to quantized inputs and outputs and can be understood as a general toolkit to study notions of quantum incompatibility. In fact, they include as special cases channel broadcasting, channel extendibility, measurement compatibility, and state marginal problems. After defining the notion of compatibility between global and local dynamics, we provide a solution to the channel marginal problem that takes the form of a semidefinite program. Using this formulation, we construct channel incompatibility witnesses, discuss their operational interpretation in terms of an advantage for a state-discrimination task, prove a gap between classical and quantum dynamical marginal problems, and show that the latter is irreducible to state marginal problems.
publishDate 2022
dc.date.none.fl_str_mv 2022
2022-03-31
2022
2022-06-29
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/369312
https://dx.doi.org/10.1103/PhysRevResearch.4.013249
url https://hdl.handle.net/2117/369312
https://dx.doi.org/10.1103/PhysRevResearch.4.013249
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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