Abstract
In this work, the dynamics of quantum correlation (QC) in terms of geometric discord and its transfer coupled with dissipative reservoirs are investigated. Taken two canonical cases where the qubits of interest are initially prepared in extended Werner-like state and W-like states into account, we specifically reveal the dynamical behaviors of the geometric discord as each qubit locally interacts with its surrounding infinite degree-of-freedom reservoir. In the scenarios, the short-term and long-term dynamics of the geometric discord for the qubit- and reservoir-subsystem as well as its transfers between them are observed detailedly. It turns out that the geometric discord of qubit-subsystem decays asymptotically to zero while the counterpart of reservoir-subsystem can revive from time t = 0 to steady value, which sheds light on a transfer of the discord from the qubit-subsystem to the corresponding reservoir-subsystem.
Highlights
Over the last decade, entanglement plays an important role in the region of quantum information theory1
It has been found that entanglement is not the only kind of nonclassical correlation that can exist between systems, i.e., quantum systems in mixed states can be disentangled and yet still nonclassically correlated2–5
Let us briefly review the definition of quantum discord for a bipartite quantum state ρAB on HA ⊗ HB with marginals ρA and ρB, which can be expressed as ref. 11
Summary
Entanglement plays an important role in the region of quantum information theory. It has been found that entanglement is not the only kind of nonclassical correlation that can exist between systems, i.e., quantum systems in mixed states can be disentangled and yet still nonclassically correlated. It has been found that entanglement is not the only kind of nonclassical correlation that can exist between systems, i.e., quantum systems in mixed states can be disentangled and yet still nonclassically correlated2–5 These correlations can be quantified by quantum discord, which has been demonstrated theoretically and experimentally that some separable states can improve performance in some computational tasks over their classical counterparts. The quantum discord needs minimization procedure for quantum measurements, and its analytical result is only known for a few classes of two-qubit states
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