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.
arXiv comment5 pages, 3 figures
References in corpus (34)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Introducing Quantum Discord
- Distributed Entanglement
- Classical, quantum and total correlations
- The classical-quantum boundary for correlations: discord and related measures
- Necessary and sufficient condition for non-zero quantum discord
- Distance measures to compare real and ideal quantum processes
- Quantum discord as resource for remote state preparation
- Sudden Birth Versus Sudden Death of Entanglement in Multipartite Systems
- Geometric quantum discord through the Schatten 1-norm
- The problem with the geometric discord
- Dynamics of quantum correlations in two-qubit systems within non-Markovian environments
- Are general quantum correlations monogamous?
- Toward computability of trace distance discord
- Comparative investigation of the freezing phenomena for quantum correlations under nondissipative decoherence
- Negativity of quantumness and its interpretations
- One-norm geometric quantum discord under decoherence
- Observable measure of bipartite quantum correlations
- Hierarchy and dynamics of trace distance correlations
- Witnessed entanglement and the geometric measure of quantum discord
- Entanglement monogamy and entanglement evolution in multipartite systems
- Exploring multipartite quantum correlations with the square of quantum discord
- Measuring bipartite quantum correlations of an unknown state
- Observation of environment-induced double sudden transitions in geometric quantum correlations
- 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
- Quantum discord and remote state preparation
- Multipartite quantum correlation and entanglement in four-qubit pure states
- Multipartite entanglement in four-qubit cluster-class states
- Geometric classical and total correlations via trace distance
- Can communication power of separable correlations exceed that of entanglement resource?
- Entanglement evolution in multipartite cavity-reservoir systems under local unitary operations