The quantum entropic uncertainty relation and entanglement witness in the two-atom system coupling with the non-Markovian environments

Abstract

The quantum entropic uncertainty relation and entanglement witness in the two-atom system coupling with the non-Markovian environments are studied by the time-convolutionless master-equation approach. The influence of non-Markovian effect and detuning on the lower bound of the quantum entropic uncertainty relation and entanglement witness is discussed in detail. The results show that, only if the two non-Markovian reservoirs are identical, increasing detuning and non-Markovian effect can reduce the lower bound of the entropic uncertainty relation, lengthen the time region during which the entanglement can be witnessed, and effectively protect the entanglement region witnessed by the lower bound of the entropic uncertainty relation. The results can be applied in quantum measurement, quantum cryptography task and quantum information processing.

arXiv comment11 pages, 4 figures

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• Effects of Hawking radiation on the entropic uncertainty in a Schwarzschild space-time
• Entanglement instability in the interaction of two qubits with a common non-Markovian environment
• Entanglement witness and entropy uncertainty of open Quantum systems under Zeno effect
• Entanglement dynamics of an open moving-biparticle system driven by classical-field
• Optimal upper bound of entropic uncertainty relation for mutually unbiased bases
• The reduction of entropy uncertainty for qutrit system under non-Markov noisy environment
• Modulating quantum evolution of moving-qubit by using classical driving
• Controlling Quantum Coherence of V-type Atom in Dissipative Cavity by Detuning and Weak Measurement Reversal