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Quantum Contextual Advantage Depending on Nonzero Prior Probabilities in State Discrimination of Mixed Qubit States

Recently, Schmid and Spekkens studied the quantum contextuality in terms of state discrimination. By dealing with the minimum error discrimination of two quantum states with identical prior probabilities, they reported that quantum contextual advantage exists. Meanwhile, if one notes a striking obse...

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Detalles Bibliográficos
Autores principales: Shin, Jaehee, Ha, Donghoon, Kwon, Younghun
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8700471/
https://www.ncbi.nlm.nih.gov/pubmed/34945889
http://dx.doi.org/10.3390/e23121583
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author Shin, Jaehee
Ha, Donghoon
Kwon, Younghun
author_facet Shin, Jaehee
Ha, Donghoon
Kwon, Younghun
author_sort Shin, Jaehee
collection PubMed
description Recently, Schmid and Spekkens studied the quantum contextuality in terms of state discrimination. By dealing with the minimum error discrimination of two quantum states with identical prior probabilities, they reported that quantum contextual advantage exists. Meanwhile, if one notes a striking observation that the selection of prior probability can affect the quantum properties of the system, it is necessary to verify whether the quantum contextual advantage depends on the prior probabilities of the given states. In this paper, we consider the minimum error discrimination of two states with arbitrary prior probabilities, in which both states are pure or mixed. We show that the quantum contextual advantage in state discrimination may depend on the prior probabilities of the given states. In particular, even though the quantum contextual advantage always exists in the state discrimination of two nonorthogonal [Formula: see text] states with nonzero prior probabilities, the quantum contextual advantage depends on prior probabilities in the state discrimination of two [Formula: see text] states.
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spelling pubmed-87004712021-12-24 Quantum Contextual Advantage Depending on Nonzero Prior Probabilities in State Discrimination of Mixed Qubit States Shin, Jaehee Ha, Donghoon Kwon, Younghun Entropy (Basel) Article Recently, Schmid and Spekkens studied the quantum contextuality in terms of state discrimination. By dealing with the minimum error discrimination of two quantum states with identical prior probabilities, they reported that quantum contextual advantage exists. Meanwhile, if one notes a striking observation that the selection of prior probability can affect the quantum properties of the system, it is necessary to verify whether the quantum contextual advantage depends on the prior probabilities of the given states. In this paper, we consider the minimum error discrimination of two states with arbitrary prior probabilities, in which both states are pure or mixed. We show that the quantum contextual advantage in state discrimination may depend on the prior probabilities of the given states. In particular, even though the quantum contextual advantage always exists in the state discrimination of two nonorthogonal [Formula: see text] states with nonzero prior probabilities, the quantum contextual advantage depends on prior probabilities in the state discrimination of two [Formula: see text] states. MDPI 2021-11-26 /pmc/articles/PMC8700471/ /pubmed/34945889 http://dx.doi.org/10.3390/e23121583 Text en © 2021 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Shin, Jaehee
Ha, Donghoon
Kwon, Younghun
Quantum Contextual Advantage Depending on Nonzero Prior Probabilities in State Discrimination of Mixed Qubit States
title Quantum Contextual Advantage Depending on Nonzero Prior Probabilities in State Discrimination of Mixed Qubit States
title_full Quantum Contextual Advantage Depending on Nonzero Prior Probabilities in State Discrimination of Mixed Qubit States
title_fullStr Quantum Contextual Advantage Depending on Nonzero Prior Probabilities in State Discrimination of Mixed Qubit States
title_full_unstemmed Quantum Contextual Advantage Depending on Nonzero Prior Probabilities in State Discrimination of Mixed Qubit States
title_short Quantum Contextual Advantage Depending on Nonzero Prior Probabilities in State Discrimination of Mixed Qubit States
title_sort quantum contextual advantage depending on nonzero prior probabilities in state discrimination of mixed qubit states
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8700471/
https://www.ncbi.nlm.nih.gov/pubmed/34945889
http://dx.doi.org/10.3390/e23121583
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