1Institute of Physics, Chinese Academy of Sciences, Beijing 100190 2Institute of Modern Physics, Northwest University, Xi'an 710127 3Shaanxi Key Laboratory for Theoretical Physics Frontiers, Xi'an 710127 4School of Mathematics and Physics, The University of Queensland, Brisbane 4072, Australia
Abstract：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 relative 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.
2019, Vol. 36 
