论文标题

通用状态的经典相关性在腐烂下是脆弱的

Classical correlations for Generic States are Fragile under Decoherence

论文作者

Konar, Tanoy Kanti, Maity, Arghya, De, Aditi Sen

论文摘要

量子相关通常会随着噪声的增加而减小,尽管经典相关因子(CCOR)可能会增加具有噪声的特定状态。为了在存在局部噪声的情况下分析经典相关性(CC)的行为,我们仔细检查了经典相关器,公理CC措施(例如经典不一致)以及统一生成的状态的本地工作。像量子相关度量一样,我们说明当噪声水平上升时,从随机输入状态获得的噪声输出状态的CC度量的平均值减少了大多数通道。我们还展示了产生的受噪声影响的多部分状态的CCOR与随着噪声水平的变化而表现出指数,多项式和恒定行为的初始状态的CCOR之间的联系。此外,基于广义N Qubit W状态的CCOR作为输入,我们确定了一种区分量子通道的方法,即相位阻尼,去极化和振幅阻尼通道。我们还将经典,量子和总相关度量与通用状态的反应表现出可比的反应。

Quantum correlations typically decrease with increasing noise, although classical correlators (CCors) may rise for a particular class of states with noise. To analyse the behavior of classical correlation (CC) in the presence of local noise, we scrutinize the set of classical correlators, axiomatic CC measures like classical discord, and local work for Haar uniformly generated states. Like quantum correlation measures, we illustrate that when noise levels rise, the average value of the CC measures for noisy output states obtained from random input states decreases for most of the channels. We also demonstrate a connection between the CCors of the noise-affected multipartite states that are produced and the CCors of the initial states that exhibit exponential, polynomial, and constant behavior as the noise level changes. Moreover, based on CCors of the generalised N-qubit W state as input, we determine a method to discriminate between the quantum channels, namely phase damping, depolarizing, and amplitude damping channels. We also relate classical, quantum, and total correlation measures that exhibit a comparable reaction to decoherence for generic states.

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