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.
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Bai, YK., Zhang, TT., Wang, LT. et al. Correlation evolution and monogamy of two geometric quantum discords in multipartite systems. Eur. Phys. J. D 68, 274 (2014). https://doi.org/10.1140/epjd/e2014-50387-8
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DOI: https://doi.org/10.1140/epjd/e2014-50387-8