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

作　　者：宋潇 刘腾 边纪 陆鹏飞 刘泱 朱峰 罗乐 Xiao Song;Teng Liu;Ji Bian;Pengfei Lu;Yang Liu;Feng Zhu;a Le Luo(School of Physics and Astronomy,Sun Yat-sen University,Zhuhai 519082,China;Shenzhen Research Institute of Sun Yat-Sen University,Shenzhen 518057,China;Quantum Science Center of Guangdong-HongKong-Macao Greater Bay Area,Shenzhen 518048,China;Guangdong Provincial Key Laboratory of Quantum Metrology and Sensing,Zhuhai 519082,China)

机构地区：[1]School of Physics and Astronomy,Sun Yat-sen University,Zhuhai 519082,China [2]Shenzhen Research Institute of Sun Yat-Sen University,Shenzhen 518057,China [3]Quantum Science Center of Guangdong-HongKong-Macao Greater Bay Area,Shenzhen 518048,China [4]Guangdong Provincial Key Laboratory of Quantum Metrology and Sensing,Zhuhai 519082,China

出　　处：《Chinese Physics Letters》2024年第6期1-10,共10页中国物理快报（英文版）

基　　金：supported by the National Key Research and Development Program of China(Grant No.2022YFC2204402);the Key-Area Research and Development Program of Guangdong Province(Grant No.2019B030330001);the Guangdong Science and Technology Project(Grant No.20220505020011);the Fundamental Research Funds for the Central Universities,Sun Yat-sen University(Grant No.2021qntd28);the Fundamental Research Funds for the Central Universities,Sun Yat-sen University(Grant No.2023lgbj020);SYSU Key Project of Advanced Research;Shenzhen Science and Technology Program(Grant No.JCYJ20220818102003006);the Shenzhen Science and Technology Program(Grant No.2021Szvup172);the supports from China Postdoctoral Science Foundation(Grant No.2021M703768);the supports from Guangdong Province Youth Talent Program(Grant No.2017GC010656)。

摘　　要：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.

关 键 词：QUANTUM system DISSIPATIVE 

分 类 号：O413[理学—理论物理]