The standard isotropic correlations are widely used in the research of no-locality of quantum physics. We prove that any multipartite no-signaling correlation can be transformed into standard isotropic form through a ...The standard isotropic correlations are widely used in the research of no-locality of quantum physics. We prove that any multipartite no-signaling correlation can be transformed into standard isotropic form through a randomization procedure, which does not change Svetlichny＇s genuine multipartite correlation. For the tripartite correlations, each part with two inputs and two outcomes, we explicitly give the protocol and the proof of its validity. We then generalize the protocol to deal with the case of an N-partite.展开更多
We first present, by using exclusivity principle, a brief proof of the complementarity principle： the sum of squared expectation values of dichotomic （5：1） mutually complementary observables can not be greater tha...We first present, by using exclusivity principle, a brief proof of the complementarity principle： the sum of squared expectation values of dichotomic （5：1） mutually complementary observables can not be greater than 1. Then we prove that the complementarity principle yields tight quantum bounds of violations of N-qubit Svetlichny＇s inequalities. This result not only demonstrates that exclusivity principle can give tight quantum bound for certain type of genuine multipartite correlations, but also illustrates the subtle relationship between quantum complementarity and quantum genuine multipartite correlations.展开更多
Nonlocal quantum correlations among the quantum subsystems play essential roles in quantum science.The violation of the Svetlichny inequality provides sufficient conditions of genuine tripartite nonlocality.We provide...Nonlocal quantum correlations among the quantum subsystems play essential roles in quantum science.The violation of the Svetlichny inequality provides sufficient conditions of genuine tripartite nonlocality.We provide tight upper bounds on the maximal quantum value of the Svetlichny operators under local filtering operations,and present a qualitative analytical analysis on the hidden genuine nonlocality for three-qubit systems.We investigate in detail two classes of three-qubit states whose hidden genuine nonlocalities can be revealed by local filtering.展开更多
We study the Bell-nonlocality dynamics of three remote atoms, two of which are trapped in one single-mode cavity and the third atom is trapped in another remote single-mode cavity. The interactions between the atoms a...We study the Bell-nonlocality dynamics of three remote atoms, two of which are trapped in one single-mode cavity and the third atom is trapped in another remote single-mode cavity. The interactions between the atoms and the cavity modes are studied via Tavis Cummings and Jaynes Cummings models. Here, the two single-mode cavities are introduced to simulate two different enviroments of the three atoms. The tripartite nonlocal correlations are studied in terms of the Svetlichny inequality and the WWZB inequality, respectively. The results show that the tripartite Bellnonlocality sudden death will occur for the W state and GHZ state initial conditions. The detailed results demonstrate that the tripartite nonlocality of GHZ state is more robust than that of W state when suffering from the effect of environments.展开更多
基金Project supported by the National Natural Science Foundation of China (Grant Nos. 11005031 and 11047174)
文摘The standard isotropic correlations are widely used in the research of no-locality of quantum physics. We prove that any multipartite no-signaling correlation can be transformed into standard isotropic form through a randomization procedure, which does not change Svetlichny＇s genuine multipartite correlation. For the tripartite correlations, each part with two inputs and two outcomes, we explicitly give the protocol and the proof of its validity. We then generalize the protocol to deal with the case of an N-partite.
文摘We first present, by using exclusivity principle, a brief proof of the complementarity principle： the sum of squared expectation values of dichotomic （5：1） mutually complementary observables can not be greater than 1. Then we prove that the complementarity principle yields tight quantum bounds of violations of N-qubit Svetlichny＇s inequalities. This result not only demonstrates that exclusivity principle can give tight quantum bound for certain type of genuine multipartite correlations, but also illustrates the subtle relationship between quantum complementarity and quantum genuine multipartite correlations.
基金the National Natural Science Foundation of China(Grant Nos.11775306,11701568,11675113,and 12075159)the Fundamental Research Funds for the Central Universities(Grant Nos.18CX02035A,18CX02023A,and 19CX02050A)+2 种基金Beijing Municipal Commission of Education under Grant No.KZ201810028042Beijing Natural Science Foundation(Z190005)Academy for Multidisciplinary Studies,Capital Normal University,and Shenzhen Institute for Quantum Science and Engineering,Southern University of Science and Technology(Grant No.SIQSE202005).
文摘Nonlocal quantum correlations among the quantum subsystems play essential roles in quantum science.The violation of the Svetlichny inequality provides sufficient conditions of genuine tripartite nonlocality.We provide tight upper bounds on the maximal quantum value of the Svetlichny operators under local filtering operations,and present a qualitative analytical analysis on the hidden genuine nonlocality for three-qubit systems.We investigate in detail two classes of three-qubit states whose hidden genuine nonlocalities can be revealed by local filtering.
基金Supported by National Natural Science Foundation of China(NSFC)under Grant Nos.11204002,11274010,61073048,and 11005029the Specialized Research Fund for the Doctoral Program of Higher Education under Grant Nos.20123401120003,20113401110002+4 种基金the Key Project of Chinese Ministry of Education under Grant Nos.211080,210092the Key Program of the Education Department of Anhui Province under Grants No.KJ2012A020the"211"Project of Anhui Universitythe Talent Foundation of Anhui Universitythe Personnel Department of Anhui Province
文摘We study the Bell-nonlocality dynamics of three remote atoms, two of which are trapped in one single-mode cavity and the third atom is trapped in another remote single-mode cavity. The interactions between the atoms and the cavity modes are studied via Tavis Cummings and Jaynes Cummings models. Here, the two single-mode cavities are introduced to simulate two different enviroments of the three atoms. The tripartite nonlocal correlations are studied in terms of the Svetlichny inequality and the WWZB inequality, respectively. The results show that the tripartite Bellnonlocality sudden death will occur for the W state and GHZ state initial conditions. The detailed results demonstrate that the tripartite nonlocality of GHZ state is more robust than that of W state when suffering from the effect of environments.
