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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2021
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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) |
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Medicine R Science Q Donghoon Ha Jeong San Kim Quantum nonlocality without entanglement depending on nonzero prior probabilities in optimal unambiguous discrimination |
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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 |
_version_ |
1718389274766737408 |