Correlation evolution and monogamy of two geometric quantum discords in multipartite systems

Regular Article

Abstract

We explore two different geometric quantum discords defined respectively viathe trace norm (GQD-1) and Hilbert-Schmidt norm (GQD-2) in multipartite systems. A rigorous hierarchy relation is revealed for the two GQDs in a class of symmetric two-qubit X-shape states. For multiqubit pure states, it is found that both GQDs are related to the entanglement concurrence, with the hierarchy relation being saturated. Furthermore, we look into a four-partite dynamical system consisting of two cavities interacting with independent reservoirs. It is found that the GQD-2 can exhibit various sudden change behaviours, while the GQD-1 only evolves asymptotically, with the two GQDs exhibiting different monogamous properties.

Keywords

Quantum Information 

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.College of Physical Science and Information Engineering and Hebei Advance Thin Films LaboratoryHebei Normal UniversityShijiazhuang, HebeiP.R. China
  2. 2.Department of Physics and Center of Theoretical and Computational PhysicsThe University of Hong KongHong KongP.R. China

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