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,re...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.展开更多
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)+7 种基金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 ResearchShenzhen 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)。
文摘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.
