Quantum nonlocality without entanglement depending on nonzero prior probabilities in optimal unambiguous discrimination

Abstract Nonlocality without entanglement(NLWE) is a nonlocal phenomenon that occurs in quantum state discrimination of multipartite separable states. In the discrimination of orthogonal separable states, the term NLWE is used when the quantum states cannot be discriminated perfectly by local operat...

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Autores principales: Donghoon Ha, Jeong San Kim
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Lenguaje:EN
Publicado: Nature Portfolio 2021
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Acceso en línea:https://doaj.org/article/7d59afc6718d492bbbbaf975c1ace30a
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spelling oai:doaj.org-article:7d59afc6718d492bbbbaf975c1ace30a2021-12-02T14:58:47ZQuantum nonlocality without entanglement depending on nonzero prior probabilities in optimal unambiguous discrimination10.1038/s41598-021-97103-y2045-2322https://doaj.org/article/7d59afc6718d492bbbbaf975c1ace30a2021-09-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-97103-yhttps://doaj.org/toc/2045-2322Abstract Nonlocality without entanglement(NLWE) is a nonlocal phenomenon that occurs in quantum state discrimination of multipartite separable states. In the discrimination of orthogonal separable states, the term NLWE is used when the quantum states cannot be discriminated perfectly by local operations and classical communication. In this case, the occurrence of NLWE is independent of nonzero prior probabilities of quantum states being prepared. Recently, it has been found that the occurrence of NLWE can depend on nonzero prior probabilities in minimum-error discrimination of nonorthogonal separable states. Here, we show that even in optimal unambiguous discrimination, the occurrence of NLWE can depend on nonzero prior probabilities. We further show that NLWE can occur regardless of nonzero prior probabilities, even if only one state can be locally discriminated without error. Our results provide new insights into classifying sets of multipartite quantum states in terms of quantum state discrimination.Donghoon HaJeong San KimNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-10 (2021)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Donghoon Ha
Jeong San Kim
Quantum nonlocality without entanglement depending on nonzero prior probabilities in optimal unambiguous discrimination
description Abstract Nonlocality without entanglement(NLWE) is a nonlocal phenomenon that occurs in quantum state discrimination of multipartite separable states. In the discrimination of orthogonal separable states, the term NLWE is used when the quantum states cannot be discriminated perfectly by local operations and classical communication. In this case, the occurrence of NLWE is independent of nonzero prior probabilities of quantum states being prepared. Recently, it has been found that the occurrence of NLWE can depend on nonzero prior probabilities in minimum-error discrimination of nonorthogonal separable states. Here, we show that even in optimal unambiguous discrimination, the occurrence of NLWE can depend on nonzero prior probabilities. We further show that NLWE can occur regardless of nonzero prior probabilities, even if only one state can be locally discriminated without error. Our results provide new insights into classifying sets of multipartite quantum states in terms of quantum state discrimination.
format article
author Donghoon Ha
Jeong San Kim
author_facet Donghoon Ha
Jeong San Kim
author_sort Donghoon Ha
title Quantum nonlocality without entanglement depending on nonzero prior probabilities in optimal unambiguous discrimination
title_short Quantum nonlocality without entanglement depending on nonzero prior probabilities in optimal unambiguous discrimination
title_full Quantum nonlocality without entanglement depending on nonzero prior probabilities in optimal unambiguous discrimination
title_fullStr Quantum nonlocality without entanglement depending on nonzero prior probabilities in optimal unambiguous discrimination
title_full_unstemmed Quantum nonlocality without entanglement depending on nonzero prior probabilities in optimal unambiguous discrimination
title_sort quantum nonlocality without entanglement depending on nonzero prior probabilities in optimal unambiguous discrimination
publisher Nature Portfolio
publishDate 2021
url https://doaj.org/article/7d59afc6718d492bbbbaf975c1ace30a
work_keys_str_mv AT donghoonha quantumnonlocalitywithoutentanglementdependingonnonzeropriorprobabilitiesinoptimalunambiguousdiscrimination
AT jeongsankim quantumnonlocalitywithoutentanglementdependingonnonzeropriorprobabilitiesinoptimalunambiguousdiscrimination
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