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.

arXiv comment20 pages, 15 figures

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• The dynamic behaviors of local quantum uncertainty for three-qubit X states under decoherence channels
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• Universal evolution of non-classical correlations due to collective spontaneous emission
• Bidirectional quantum teleportation of even and odd coherent states through the multipartite Glauber coherent state: Theory and implementation
• Influence of Stark-shift on quantum coherence and non-classical correlations for two two-level atoms interacting with a single-mode cavity field
• Local quantum uncertainty for multipartite quantum systems
• Estimating phase parameters of a three-level system interacting with two classical monochromatic fields in simultaneous and individual metrological strategies
• Effects of DM and KSEA interactions on entanglement, Fisher and Wigner-Yanase information correlations of two XYZ-Heisenberg-qubit states under a magnetic field
• A simple analytical expression of quantum Fisher and Skew information and their dynamics under decoherence channels
• Enhancing the estimation precision of an unknown phase shift in multipartite Glauber coherent states via skew information correlations and local quantum Fisher information
• Qubit-Qutrit ($2\otimes 3$) quantum systems: An investigation of some quantum correlations under collective dephasing
• Thermal local quantum uncertainty in a two-qubit-superconducting system under decoherence
• Quantifying non-Markovianity via local quantum Fisher information
• Preservation and enhancement of quantum correlations under Stark effect