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Non-Hermitian CHSH*Game with a Single Trapped-Ion Qubit

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The Clauser-Horne-Shimony-Holt(CHSH)game provides a captivating illustration of the advantages of quantum strategies over classical ones.In a recent study,a variant of the CHSH game leveraging a single qubit system,referred to as the CHSH*game,has been identified.We demonstrate that this mapping relationship between these two games remains effective even for a non-unitary gate.Here we delve into the breach of Tsirelson's bound in a non-Hermitian system,predicting changes in the upper and lower bounds of the player's winning probability when employing quantum strategies in a single dissipative qubit system.We experimentally explore the impact of the CHSH*game on the player's winning probability in a single trapped-ion dissipative system,demonstrating a violation of Tsirelson's bound under the influence of parity-time(PT)symmetry.These results contribute to a deeper understanding of the influence of non-Hermitian systems on quantum games and the behavior of quantum systems under PT symmetry,which is crucial for designing more robust and efficient quantum protocols.

宋潇、刘腾、边纪、陆鹏飞、刘泱、朱峰、罗乐

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School of Physics and Astronomy,Sun Yat-sen University,Zhuhai 519082,China

Quantum Science Center of Guangdong-HongKong-Macao Greater Bay Area,Shenzhen 518048,China

Shenzhen Research Institute of Sun Yat-Sen University,Shenzhen 518057,China

Guangdong Provincial Key Laboratory of Quantum Metrology and Sensing,Zhuhai 519082,China

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National Key Research and Development Program of ChinaKey-Area Research and Development Program of Guangdong ProvinceGuangdong Science and Technology ProjectFundamental Research Funds for the Central Universities,Sun Yatsen UniversityFundamental Research Funds for the Central Universities,Sun Yatsen UniversitySYSU Key Project of Advanced Research,Shenzhen Science and Technology ProgramShenzhen Science and Technology ProgramChina Postdoctoral Science FoundationGuangdong Province Youth Talent Program

2022YFC22044022019B030330001202205050200112021qntd282023lgbj020JCYJ202208181020030062021Szvup1722021M7037682017GC010656

2024

10.1088/0256-307X/41/6/060301

中国物理快报(英文版)
中国科学院物理研究所,中国物理学会

中国物理快报(英文版)

CSTPCDEI
影响因子：0.515
ISSN：0256-307X
年,卷(期)：2024.41(6)