General monogamy property of global quantum discord and the application

Journal Article · Mon Sep 15 00:00:00 EDT 2014 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/J.AOP.2014.05.015· OSTI ID:22403389

Liu, Si-Yuan ^[1]; Zhang, Yu-Ran ^[2]; Zhao, Li-Ming ^[2]; Yang, Wen-Li ^[1]; Fan, Heng ^[2]

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1. Institute of Modern Physics, Northwest University, Xian 710069 (China)
2. Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190 (China)

We provide a family of general monogamy inequalities for global quantum discord (GQD), which can be considered as an extension of the usual discord monogamy inequality. It can be shown that those inequalities are satisfied under the similar condition for the holding of usual monogamy relation. We find that there is an intrinsic connection among them. Furthermore, we present a different type of monogamy inequality and prove that it holds under the condition that the bipartite GQDs do not increase when tracing out some subsystems. We also study the residual GQD based on the second type of monogamy inequality. As applications of those quantities, we investigate the GQDs and residual GQD in characterizing the quantum phase transition in the transverse field Ising model.

• OSTI ID: 22403389
• Journal Information: Annals of Physics (New York), Vol. 348; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ISING MODEL
PHASE TRANSFORMATIONS
QUANTUM DECOHERENCE