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Chinese Physics Letters

A Comparison of the Concurrence and the Quantum Discord in a Two-Qubit System

Yang, Guohui, Wang, Rong

Published Jan 1, 2015• 0 citations
OpenAlex

Abstract

在在 decoherence 下面的一个各向异性的 Heisenberg XYZ 模型的量关联动力学与同时发生 C 和量不一致(QD ) 的使用被调查。这二项关联措施的时间进化行为之间有显著差别：当在 QD 没有任何一个时，在同时发生有 entanglement-sudden-death 现象，它为所有这个系统的起始的状态是有效的，并且纠纷死亡的间隔时间被发现强烈依赖于起始的状态和参数 B 并且。与长期的限制，稳定的纠纷(SC ) 和稳定的量不一致(SQD ) 能被获得。SC 和 SQD 的大小是仔细与参数 B 有关并且 DzyaloshinskiiMoriya 相互作用的力量， D，没有影响。另外，参数 B 并且在 SC 和 SQD 上的效果显示如此的不同、复杂的特征，一个人不能关于他们获得一条一致法律，因此，我们给这现象的分析解释。最后， SC 的值不总是比 SQD 大，这能被注意，它强烈依赖于参数 B 并且。

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在在 decoherence 下面的一个各向异性的 Heisenberg XYZ 模型的量关联动力学与同时发生 C 和量不一致(QD ) 的使用被调查。这二项关联措施的时间进化行为之间有显著差别：当在 QD 没有任何一个时，在同时发生有 entanglement-sudden-death 现象，它为所有这个系统的起始的状态是有效的，并且纠纷死亡的间隔时间被发现强烈依赖于起始的状态和参数 B 并且。与长期的限制，稳定的纠纷(SC ) 和稳定的量不一致(SQD ) 能被获得。SC 和 SQD 的大小是仔细与参数 B 有关并且 DzyaloshinskiiMoriya 相互作用的力量， D，没有影响。另外，参数 B 并且在 SC 和 SQD 上的效果显示如此的不同、复杂的特征，一个人不能关于他们获得一条一致法律，因此，我们给这现象的分析解释。最后， SC 的值不总是比 SQD 大，这能被注意，它强烈依赖于参数 B 并且。
量关联由量不一致(QD ) 测量了，导致测量的距离(中间) ，并且在 two-qubit Heisenberg XY 旋转链的量不一致(GMQD ) 的几何措施被调查。DM 相互作用的效果并且在三关联上各向异性被考虑。为 two-qubit 状态的各种各样的关联措施的特征被比较。增加的 Dz 增加 QD，中间并且 GMQD 单调地当时增加的 anisotropy 增加和减少 QD 和 GMQD。三量关联在很高的温度总是是存在的。中间总是比 QD 大，但是在 QD 和 GMQD 之间没有明确的订。
由于人口松驰考虑 decoherence 效果，我们在 Heisenberg XY 相互作用和题目为二 qubits 调查纠纷性质到一外部磁性删除。这被发现纠纷的现象象突然的出生(ESB ) 一样的突然的死亡(ESD ) 为特别起始的状态出现在进化过程期间。影响外部磁性删除并且 ESD 和 ESB 上的旋转环境详细被探讨。这被显示出同时发生，纠纷的一项措施，能被调节旋转链的参数控制例如各向异性的参数，外部磁性删除，并且有他们的环境的联合力量。特别地，我们接地一个批评 anisotropy 常数存在，在哪个上面当 ESD 出现时， ESB 消失。那件稳定的纠纷，独立于 qubits 的不同起始的状态，甚至面对 decoherence 发生，也是著名的。[从作者抽象]
The quantum correlation dynamics in an anisotropic Heisenberg XYZ model under decoherence are investigated with the use of concurrence C and quantum discord (QD). There is a remarkable difference between the time evolution behaviors of these two correlation measures: there is a entanglement-sudden-death phenomenon in the concurrence while there is none in QD, which is valid for all of the initial states of this system, and the interval time of the entanglement death is found to be strongly dependent on the initial states and the parameters B and Δ. With the long-time limit the steady entanglement (SC) and steady quantum discord (SQD) can be obtained. The magnitudes of SC and SQD are closely related to the parameters B and Δ, while the strength of the Dzyaloshinskii—Moriya interaction, D, has no influence. In addition, the effects of the parameters B and Δ on SC and SQD display such different and complicated features that one cannot obtain a uniform law about them, thus we give an analytical explanation of this phenomenon. Lastly, it can be noted that the value of SC is not always larger than SQD, which is strongly dependent on the parameters B and Δ.
量和古典关联的 non-Markovian decoherence 是当二 qubits 不均匀地受到小点时，获得的经分解扭动隧道和阶段扭动隧道。为起始的混合状态的一个班，量关联与古典关联同时地由量不一致腐烂确定了。量和古典关联的腐烂的率突然在典型时间改变的发现被距离身体上从量状态解释到最近古典的状态。在大时间间隔，量关联比古典关联大。量和古典关联能经由描绘环境记忆效果的核在时间的一个更长的时期上被保存。
Quantum correlation dynamics in an anisotropic Heisenberg XYZ model under decoherence is investigated by making use of concurrence C and quantum discord (QD). Firstly, we show that both the concurrence and QD exhibit oscillation with time whereas a remarkable difference between them is presented: there is an “entanglement intermittently sudden death” phenomenon in the concurrence but not in the QD, which is valid for all the initial states of this system. Also, the interval time of entanglement sudden death is found to be strongly dependent on the initial states, the inhomogeneous magnetic field b and the anisotropic parameter Δ . Then, it implies that the steady concurrence and QD can be obtained in the long-time limit, which means that the environmental decoherence cannot entirely destroy the quantum correlation, the variation of the uniform magnetic field B and the anisotropic parameter can change the magnitude of the steady concurrence and QD evidently whereas the parameter b cannot. In addition, based on the analysis of the steady concurrence and QD with t →∞, we give the reason why the magnitude of the steady concurrence and QD is so complicated with the change of the parameters B and Δ , whereas the parameter b is independent of the steady concurrence and QD.