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

Based on the entropic uncertainty relation in the presence of quantum memory, the entanglement witness of two atoms in dissipative cavities is investigated by using the time-convolutionless master-equation approach. We discuss in detail the influences of the non-Markovian effect and the atom–cavity coupling on the lower bound of the entropic uncertainty relation and entanglement witness. The results show that, with the coupling increasing, the number of the time zone witnessed will increase so that the entanglement can be repeatedly witnessed. Enhancing the non-Markovian effect can add the number of the time zone witnessed and lengthen the time of entanglement witness. The results can be applied in quantum measurement, entanglement detecting, quantum cryptography task, and quantum information processing.

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Tripartite entropic uncertainty relation under phase decoherence

Scientific Reports ◽

10.1038/s41598-021-90689-3 ◽

2021 ◽

Vol 11 (1) ◽

Author(s):

R. A. Abdelghany ◽

A.-B. A. Mohamed ◽

M. Tammam ◽

Watson Kuo ◽

H. Eleuch

Keyword(s):

Lower Bound ◽

Uncertainty Relation ◽

Nearest Neighbors ◽

The Other ◽

Uncertainty In Measurement ◽

Entropic Uncertainty Relation ◽

Specific Choice ◽

Phase Decoherence ◽

Time Invariant ◽

Incompatible Observables

AbstractWe formulate the tripartite entropic uncertainty relation and predict its lower bound in a three-qubit Heisenberg XXZ spin chain when measuring an arbitrary pair of incompatible observables on one qubit while the other two are served as quantum memories. Our study reveals that the entanglement between the nearest neighbors plays an important role in reducing the uncertainty in measurement outcomes. In addition we have shown that the Dolatkhah’s lower bound (Phys Rev A 102(5):052227, 2020) is tighter than that of Ming (Phys Rev A 102(01):012206, 2020) and their dynamics under phase decoherence depends on the choice of the observable pair. In the absence of phase decoherence, Ming’s lower bound is time-invariant regardless the chosen observable pair, while Dolatkhah’s lower bound is perfectly identical with the tripartite uncertainty with a specific choice of pair.

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Exploration of entropic uncertainty relation for two accelerating atoms immersed in a bath of electromagnetic field

Quantum Information Processing ◽

10.1007/s11128-018-2151-z ◽

2018 ◽

Vol 18 (1) ◽

Cited By ~ 8

Author(s):

Zhiming Huang ◽

Haozhen Situ

Keyword(s):

Electromagnetic Field ◽

Uncertainty Relation ◽

Entropic Uncertainty Relation

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Entropic Steering Criteria: Applications to Bipartite and Tripartite Systems

Entropy ◽

10.3390/e20100763 ◽

2018 ◽

Vol 20 (10) ◽

pp. 763 ◽

Cited By ~ 9

Author(s):

Ana Costa ◽

Roope Uola ◽

Otfried Gühne

Keyword(s):

Relative Entropy ◽

Uncertainty Relation ◽

Uncertainty Relations ◽

W States ◽

Entropic Uncertainty Relations ◽

Entropic Uncertainty Relation ◽

Local Measurements ◽

Action At A Distance ◽

Quantum Steering ◽

Joint Convexity

The effect of quantum steering describes a possible action at a distance via local measurements. Whereas many attempts on characterizing steerability have been pursued, answering the question as to whether a given state is steerable or not remains a difficult task. Here, we investigate the applicability of a recently proposed method for building steering criteria from generalized entropic uncertainty relations. This method works for any entropy which satisfy the properties of (i) (pseudo-) additivity for independent distributions; (ii) state independent entropic uncertainty relation (EUR); and (iii) joint convexity of a corresponding relative entropy. Our study extends the former analysis to Tsallis and Rényi entropies on bipartite and tripartite systems. As examples, we investigate the steerability of the three-qubit GHZ and W states.

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