Discrimination of three symmetric states

The quantum state discrimination problem is ubiquitous in quantum information and serves as the foundation for many quantum communication schemes proposed so far. This paper investigates the optimal discrimination of three symmetric quantum states with equal prior probabilities. To obtain completely...

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Main Authors: Lan-lan Li, Wen-hai Zhang, Ke Zhang, Cheng-yu Fan
Format: Article
Language:English
Published: AIP Publishing LLC 2025-01-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/5.0251021
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author Lan-lan Li
Wen-hai Zhang
Ke Zhang
Cheng-yu Fan
author_facet Lan-lan Li
Wen-hai Zhang
Ke Zhang
Cheng-yu Fan
author_sort Lan-lan Li
collection DOAJ
description The quantum state discrimination problem is ubiquitous in quantum information and serves as the foundation for many quantum communication schemes proposed so far. This paper investigates the optimal discrimination of three symmetric quantum states with equal prior probabilities. To obtain completely accessible information about the input pure states, this strategy makes improvements to the two standard strategies of quantum state discrimination, namely the minimum error discrimination and unambiguous discrimination. The new discrimination strategy proposed in this paper can be applied to both linearly independent and dependent quantum states.
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id doaj-art-a16a65ff292c474085332f86231d1786
institution Kabale University
issn 2158-3226
language English
publishDate 2025-01-01
publisher AIP Publishing LLC
record_format Article
series AIP Advances
spelling doaj-art-a16a65ff292c474085332f86231d17862025-02-03T16:40:43ZengAIP Publishing LLCAIP Advances2158-32262025-01-01151015307015307-410.1063/5.0251021Discrimination of three symmetric statesLan-lan Li0Wen-hai Zhang1Ke Zhang2Cheng-yu Fan3Anhui Institute of Optics and Fine Mechanics, HFIPS, Chinese Academy of Sciences, Hefei 230031, ChinaSchool of Electronic Engineering, Huainan Normal University, Huainan 232038, ChinaSchool of Electronic Engineering, Huainan Normal University, Huainan 232038, ChinaAnhui Institute of Optics and Fine Mechanics, HFIPS, Chinese Academy of Sciences, Hefei 230031, ChinaThe quantum state discrimination problem is ubiquitous in quantum information and serves as the foundation for many quantum communication schemes proposed so far. This paper investigates the optimal discrimination of three symmetric quantum states with equal prior probabilities. To obtain completely accessible information about the input pure states, this strategy makes improvements to the two standard strategies of quantum state discrimination, namely the minimum error discrimination and unambiguous discrimination. The new discrimination strategy proposed in this paper can be applied to both linearly independent and dependent quantum states.http://dx.doi.org/10.1063/5.0251021
spellingShingle Lan-lan Li
Wen-hai Zhang
Ke Zhang
Cheng-yu Fan
Discrimination of three symmetric states
AIP Advances
title Discrimination of three symmetric states
title_full Discrimination of three symmetric states
title_fullStr Discrimination of three symmetric states
title_full_unstemmed Discrimination of three symmetric states
title_short Discrimination of three symmetric states
title_sort discrimination of three symmetric states
url http://dx.doi.org/10.1063/5.0251021
work_keys_str_mv AT lanlanli discriminationofthreesymmetricstates
AT wenhaizhang discriminationofthreesymmetricstates
AT kezhang discriminationofthreesymmetricstates
AT chengyufan discriminationofthreesymmetricstates