The dynamics of local quantum uncertainty and trace distance discord for two-qubit X states under decoherence: a comparative study

Abstract

We employ the concepts of local quantum uncertainty and geometric quantum discord based on the trace norm to investigate the environmental effects on quantum correlations of two bipartite quantum systems. The first one concerns a two-qubit system coupled with two independent bosonic reservoirs. We show that the trace discord exhibits frozen phenomenon contrarily to local quantum uncertainty. The second scenario deals with a two-level system, initially prepared in a separable state, interacting with a quantized electromagnetic radiation. Our results show that there exists an exchange of quantum correlations between the two-level system and its surrounding which is responsible for the revival phenomenon of non-classical correlations.

20 pages, 15 figures

References in corpus (5)

• Experimental quantum teleportation
• Entanglement detection
• Necessary and sufficient condition for non-zero quantum discord
• Unifying approach to the quantification of bipartite correlations by Bures distance
• Dissipation and entanglement dynamics for two interacting qubits coupled to independent reservoirs

Cited by in corpus (6)

• A comparative study of local quantum Fisher information and local quantum uncertainty in Heisenberg $XY$ model
• Local quantum Fisher information and local quantum uncertainty for general X-states
• The dynamic behaviors of local quantum uncertainty for three-qubit X states under decoherence channels
• Quantum Fisher information matrix in Heisenberg XY model
• Universal evolution of non-classical correlations due to collective spontaneous emission
• Preservation and enhancement of quantum correlations under Stark effect