Correlation evolution and monogamy of two geometric quantum discords in multipartite systems
arXiv:1404.5799 · doi:10.1140/epjd/e2014-50387-8
Abstract
We explore two different geometric quantum discords defined respectively via the 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 -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.
5 pages, 3 figures
References in corpus (10)
- Necessary and sufficient condition for non-zero quantum discord
- Sudden Birth Versus Sudden Death of Entanglement in Multipartite Systems
- Witnessed entanglement and the geometric measure of quantum discord
- Measuring bipartite quantum correlations of an unknown state
- Quantum discord as a resource in quantum communication
- Quantum resources for hybrid communication via qubit-oscillator states
- Quantum-correlating power of local quantum channels
- Tight lower bound on geometric discord of bipartite states
- Multipartite quantum correlation and entanglement in four-qubit pure states
- Multipartite entanglement in four-qubit cluster-class states