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理论物理通讯：英文版

Quantum Discord Dynamics of Three Qubits in Non-Markovian Environments

张燕, 刘金明, 李艳杰

Published Jan 1, 2014• 0 citations
OpenAlex

Abstract

我们在零温度，其各个与 Lorentzian 由一个漏的洞被建模在三座独立 non-Markovian 水库为一个混合 three-qubit W 类型状态调查 pairwise 量不一致(QD ) 的动力学光谱密度。环境 non-Markovianity，在 qubit 频率之间的 detuning 和洞中心频率的数量的影响，和 QD 动力学上的起始的状态的纯净详细被分析。在 non-Markovian 政体，系统水库相互作用导致 QD 苏醒，摆动不管 detuning 是否是零，这被发现。而且，如果 non-Markovian 条件和 detuning 条件同时满足， QD 能很长时间被保存。

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我们在零温度，其各个与 Lorentzian 由一个漏的洞被建模在三座独立 non-Markovian 水库为一个混合 three-qubit W 类型状态调查 pairwise 量不一致(QD ) 的动力学光谱密度。环境 non-Markovianity，在 qubit 频率之间的 detuning 和洞中心频率的数量的影响，和 QD 动力学上的起始的状态的纯净详细被分析。在 non-Markovian 政体，系统水库相互作用导致 QD 苏醒，摆动不管 detuning 是否是零，这被发现。而且，如果 non-Markovian 条件和 detuning 条件同时满足， QD 能很长时间被保存。
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。
我们认为纠纷是与独立结构化的 non-Markovian 水库交往的三个二水平的原子的动力学。原子开始在混合多国参加的 Greenberger 被准备 -- Horne -- Zeilinger (GHZ ) 类型状态。基于纯净和 non-Markovian 水库，我们证明水库的纠纷能展出多国参加的纠纷不仅突然的出生而且纠纷原子纠纷的突然的死亡，和苏醒没被水库的解开纠结总是伴随。同时，我们为多国参加的苏醒和死亡现象导出量的标准并且发现多国参加的纠纷突然的死亡和纠纷同时的鬼怪时间是的突然的出生独立于起始的 three-qubit 状态。[从作者抽象]
We investigate the dynamics of pairwise quantum discord (QD) for a mixed three-qubit W-type state in three independent non-Markovian reservoirs at zero temperature, each of which is modeled by a leaky cavity with Lorentzian spectral density. The influence of the environment's amount of non-Markovianity, the detuning between the qubit frequency and the cavity centre frequency, and the purity of the initial state on the QD dynamics are analyzed in detail. It is found that in the non-Markovian regime the system-reservoir interactions induce QD revivals and oscillations no matter whether the detuning is zero or not. Moreover, QD can be preserved for a long time if the non-Markovian condition and the detuning condition are satisfied simultaneously.
We study the dynamics of the pairwise quantum discord (QD), classical correlation (CC), and entanglement of formation (EOF) for the three-qubit W-class state |W>_{123}=\frac 12(|100>_{123}+|010>_{123}+\sqrt{2}|001>_{123}) under the influence of various Markovian noises by analytically solving the master equation in the Lindblad form. Through numerical analysis, we find that EOF decreases asymptotically to zero with time for the dephasing noise, but it undergoes sudden death for the bit-flip noise, the isotropic noise, as well as the dissipative and noisy environments. Moreover, QD decays to zero in an asymptotical way for all the noises we investigated. Thus, when the W-class state |W>_{123} is subject to the above Markovian noises, QD is more robust than EOF against decoherence excluding the phase-flip noise, implying that QD is more useful than entanglement to characterize the quantum correlation. We also find a remarkable character for the CC in the presence of the phase-flip noise, i.e., CC displays the behavior of sudden transition and then keeps constant permanently, but the corresponding QD just exhibits a very small sudden change. Furthermore, we verify the monogamic relation between the pairwise QD and EOF of the W-class state.