Nonlocality in quantum cloning states

Abstract This study investigates the nonlocality characteristics of output states produced by a universal quantum cloning machine, with particular emphasis on the Bell-CHSH inequality violations exhibited by the two-qubit reduced states of cloned outputs. Through systematic analysis, we identify the...

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Main Authors: Jun Liu, Zhiwen Mo
Format: Article
Language:English
Published: Nature Portfolio 2025-07-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-025-06140-4
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author Jun Liu
Zhiwen Mo
author_facet Jun Liu
Zhiwen Mo
author_sort Jun Liu
collection DOAJ
description Abstract This study investigates the nonlocality characteristics of output states produced by a universal quantum cloning machine, with particular emphasis on the Bell-CHSH inequality violations exhibited by the two-qubit reduced states of cloned outputs. Through systematic analysis, we identify the parameter regimes where these reduced states can effectively serve as quantum channels for teleportation protocols. Our results demonstrate that within specific operational ranges of the cloning machine parameters, the two-qubit reduced states are suitable for quantum teleportation but do not exhibit violations of Bell-CHSH inequalities. Furthermore, we quantitatively characterize the monogamy relations governing Bell-CHSH violations in quantum cloning states across different parameter configurations, revealing fundamental constraints on nonlocality distribution in cloned quantum systems.
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spelling doaj-art-cc2c9c87bf254e0082f1c96b1255cc632025-08-20T04:01:34ZengNature PortfolioScientific Reports2045-23222025-07-011511810.1038/s41598-025-06140-4Nonlocality in quantum cloning statesJun Liu0Zhiwen Mo1School of Mathematics and Information, China West Normal UniversitySchool of Mathematical Sciences, Sichuan Normal UniversityAbstract This study investigates the nonlocality characteristics of output states produced by a universal quantum cloning machine, with particular emphasis on the Bell-CHSH inequality violations exhibited by the two-qubit reduced states of cloned outputs. Through systematic analysis, we identify the parameter regimes where these reduced states can effectively serve as quantum channels for teleportation protocols. Our results demonstrate that within specific operational ranges of the cloning machine parameters, the two-qubit reduced states are suitable for quantum teleportation but do not exhibit violations of Bell-CHSH inequalities. Furthermore, we quantitatively characterize the monogamy relations governing Bell-CHSH violations in quantum cloning states across different parameter configurations, revealing fundamental constraints on nonlocality distribution in cloned quantum systems.https://doi.org/10.1038/s41598-025-06140-4NonlocalityQuantum teleportationBell-CHSH inequality
spellingShingle Jun Liu
Zhiwen Mo
Nonlocality in quantum cloning states
Scientific Reports
Nonlocality
Quantum teleportation
Bell-CHSH inequality
title Nonlocality in quantum cloning states
title_full Nonlocality in quantum cloning states
title_fullStr Nonlocality in quantum cloning states
title_full_unstemmed Nonlocality in quantum cloning states
title_short Nonlocality in quantum cloning states
title_sort nonlocality in quantum cloning states
topic Nonlocality
Quantum teleportation
Bell-CHSH inequality
url https://doi.org/10.1038/s41598-025-06140-4
work_keys_str_mv AT junliu nonlocalityinquantumcloningstates
AT zhiwenmo nonlocalityinquantumcloningstates