Einstein-Podolsky-Rosen steering and monogamy relations in controllable dynamical Casimir arrays

Zhang, Mengxin; Long, Yumei; Zhao, Shiqing; Zhang, Xue

doi:10.1103/physreva.105.042435

Cited by 2 publications

(1 citation statement)

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“…Fortunately, due to the nontrivial application of the asymmetry of EPR steering in one-sided device-independent quantum key distribution, [3] observations of the asymmetry of EPR steering have been gradually implemented in different systems. For instance, optical systems, [29] selfphase-locked optical parametric oscillators, [30] dynamical Casimir arrays, [31] high dimension systems, [32] modulated optomechanical systems, [33] cavity magnonics, [34] macroscopic hybrid systems, [35] and so on. Reservoir systems are an important physical model, and the maximal-steeredcoherence of such systems can be controlled by quantum reservoir engineering.…”

Section: Introductionmentioning

confidence: 99%

Ascertaining the influences of auxiliary qubits on the Einstein–Podolsky–Rosen steering and its directions

Xing 邢,

Yang 杨,

Zhang 张

et al. 2024

Chinese Phys. B

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Einstein-Podolsky-Rosen (EPR) steering is one of nontrivial quantum nonlocalities and characteristics in the non-classical world. The directivity (or asymmetry) is a fascinating trait of the EPR steering, and it is different from other quantum nonlocalities. Here, considering the strategy in which two atoms compose a two-qubit X state, and the two atoms are owned by Alice and Bob, respectively. The atom of Alice suffers from a reservoir, and the atom of Bob couples with a bit flip channel. The influences of auxiliary qubits on the EPR steering and its directions are revealed by means of entropy uncertainty relation. The results indicate that the EPR steering declines with growing time t when adding less auxiliary qubits. The EPR steering behaves as damped oscillation when introducing more auxiliary qubits in the strong coupling regime. In the weak coupling regime, the EPR steering monotonously decreases as t increases when coupling auxiliary qubits. The increases of auxiliary qubits are responsible for the fact that the steerability from Alice to Bob (or from Bob to Alice) can be more effectively revealed. Notably, the introductions of more auxiliary qubits can change the situation that the steerability from Alice to Bob is certain into the situation that the steerability from Bob to Alice is certain.

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