The definitions of strong superadditive deficit for relative entropy coherence and monogamy deficit of measurement-dependent global quantum discord are proposed.The equivalence between them is proved,which provides a ...The definitions of strong superadditive deficit for relative entropy coherence and monogamy deficit of measurement-dependent global quantum discord are proposed.The equivalence between them is proved,which provides a useful criterion for the validity of the strong superadditive inequality of relative entropy coherence.In addition,the strong superadditive deficit of rela.tive entropy coherence is proved to be greater than or equal to zero under the condition that bipartite measurement-dependent global quantum discord(GQD)does not increase under the discarding of subsystems.Using the Monte Carlo method,it is shown that both the strong superadditive inequality of relative entropy coherence and the monogamy inequality of measurement-dependent GQD are established under general circumstances.The bipartite measurement-dependent GQD does not increase under the discarding of subsystems.The multipartite situation is also discussed in detail.展开更多
基金Supported by the National Natural Science Foundation of China under Grant Nos 11775177,11775178,11647057 and 11705146the Special Research Funds of Shaanxi Province Department of Education under Grant No 16JK1759+5 种基金the Basic Research Plan of Natural Science in Shaanxi Province under Grant No 2018JQ1014the Major Basic Research Program of Natural Science of Shaanxi Province under Grant No 2017ZDJC-32the Key Innovative Research Team of Quantum Many-Body Theory and Quantum Control in Shaanxi Province under Grant No 2017KCT-12the Northwest University Scientific Research Funds under Grant No15NW26the Double First-Class University Construction Project of Northwest Universitythe Australian Research Council through Discovery Projects under Grant No DP190101529
文摘The definitions of strong superadditive deficit for relative entropy coherence and monogamy deficit of measurement-dependent global quantum discord are proposed.The equivalence between them is proved,which provides a useful criterion for the validity of the strong superadditive inequality of relative entropy coherence.In addition,the strong superadditive deficit of rela.tive entropy coherence is proved to be greater than or equal to zero under the condition that bipartite measurement-dependent global quantum discord(GQD)does not increase under the discarding of subsystems.Using the Monte Carlo method,it is shown that both the strong superadditive inequality of relative entropy coherence and the monogamy inequality of measurement-dependent GQD are established under general circumstances.The bipartite measurement-dependent GQD does not increase under the discarding of subsystems.The multipartite situation is also discussed in detail.
