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Physica Scripta

Influences of noisy channels on quantum coherence and entanglement of W state in noninertial frame

Kwang-Il Kim, Myong Chol Pak, Kwang Myong Kye, Hyon Chol Kim, Chol Jun Kim

Published Apr 19, 2023• 1 citation
Publisher

Abstract

Abstract Via using l 1-norm of quantum coherence and π–tangle, we investigate influences of amplitude-damping and depolarizing channels on quantum coherence and entanglement for W state of Dirac fields when two observers are in accelerating motion. We find that quantum entanglement vanishes for all values of acceleration if at least one qubit is under noisy channels. But quantum coherence does not vanish even at infinite acceleration if only one subsystem is under noisy channels. We also find that, unlike the depolarizing environment, the amplitude-damping environment can destroy symmetric properties of quantum entanglement with respect to two accelerated observers. These results will further enrich our understanding on the relation between quantum coherence and entanglement.

DOI
10.1088/1402-4896/acce7e

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Abstract Via using l 1-norm of quantum coherence and π–tangle, we investigate influences of amplitude-damping and depolarizing channels on quantum coherence and entanglement for W state of Dirac fields when two observers are in accelerating motion. We find that quantum entanglement vanishes for all values of acceleration if at least one qubit is under noisy channels. But quantum coherence does not vanish even at infinite acceleration if only one subsystem is under noisy channels. We also find that, unlike the depolarizing environment, the amplitude-damping environment can destroy symmetric properties of quantum entanglement with respect to two accelerated observers. These results will further enrich our understanding on the relation between quantum coherence and entanglement.
Abstract We investigate quantum entanglement and coherence of tripartite W state for Dirac fields under phase damping, phase flip and bit flip channels, respectively, in non-inertial frames. Via π -tangle, we numerically compute tripartite entanglement of W state under three channels when two observers are accelerated. We also analytically derive l 1 -norm quantum coherence of W state under the simultaneous influence of Unruh effect and noisy environments. For phase-damping and phase-flip channels, both the acceleration and noisy channels modulate the behaviour of the tripartitle entanglement and quantum coherence. They do not vanish even for infinite acceleration when only A 's qubit is under noisy environment, in contrast with the case when two or more observers’ qubits are under noisy environment. In the case of the bit flip channel, the behavior of the tripartite entanglement is similar to the one of the phase flip channel, but quantum coherence remains unaffected by the environment.
In this paper, we investigate the entanglement dynamics of a two-qubit entangled state coupled with its noisy environment, and plan to utilize weak measurement and quantum reversal measurement to study the entanglement dynamics under different decoherence channels in noninertial frames. Through the calculations and analyses, it is shown that the weak measurement can prevent entanglement from coupling to the amplitude damping channel, while the system is under the phase damping and flip channels. This protection protocol cannot prevent entanglement but will accelerate the death of entanglement. In addition, if the system is in the noninertial reference frame, then the effect of weak measurement will be weakened for the amplitude damping channel. Nevertheless, for other decoherence channels, the Unruh effect does not affect the quantum weak measurement, the only exception is that the maximum value of entanglement is reduced to √2/2 of the original value in the inertial frames.
Based on Greenberger-Horne-Zeilinger (GHZGHZGHZ) and WWW initial states, the tripartite entanglement of a fermionic system under the amplitude damping channel and in depolarizing noise when two subsystems accelerated is investigated. Unlike the case of two-qubit system in which sudden death occurs easily, we find here that the sudden death never occurs even all subsystems are under the noise environment. We note that both acceleration and environment can destroy the symmetry between the subsystems, but the effect of environment is much stronger than that of acceleration. We also show that an entanglement rebound process will take place when P>0.75P>0.75P>0.75 in the depolarizing noise and the larger acceleration will result in the weaker rebound process.
We study the effects of decoherence on the entanglement generated by the Unruh effect in noninertial frames by using phase flip, phase damping and depolarizing channels. It is shown that decoherence strongly influences the initial state entanglement. Entanglement sudden death can occur irrespective of the acceleration of the noninertial frame under the action of phase flip and phase damping channels. It is investigated that an early sudden death occurs for large acceleration under the depolarizing environment. Moreover, entanglement increases for a highly decohered phase flip channel.
We study the effects of decoherence on the entanglement generated by Unruh effect in accelerated frames by using various combinations of an amplitude damping channel, a phase damping channel and a depolarizing channel in the form of multilocal and collective environments. Using concurrence as entanglement quantifier, we show that the occurrence of entanglement sudden death (ESD) depends on different combinations of the channels. The ESD can be avoided under a particular configuration of the channels. We show that the channels can be used to distinguish between a moving and a stationary frame.