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arXiv 1509.01410quant-ph
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$d\otimes2$系统的量子不一致

Quantum Discord for $d\otimes2$ Systems

Zhihao Ma, Zhihua Chen, Felipe F. Fanchini, Shao-Ming Fei

摘要:

我们提出了一个解析解的经典相关性,定义在线性熵,在任意$d\otimes 2$系统时,第二个子系统进行测量。我们表明,在最大化的经典相关性的线性熵的最佳测量,当用于计算量子不和谐的冯诺伊曼熵,结果在一个严格的上限为任意$d\otimes 2$系统。这个界与所有已知的关于量子不和谐的冯诺伊曼熵的解析结果一致,并且与$10^6$双量子比特随机密度矩阵的数值结果比较,我们得到了$10^{-4}$阶的平均偏差.此外,我们的结果给出了一种计算任意$n$ -量子比特GHZ态和W态在振幅阻尼噪声信道作用下演化的量子不和谐的方法。

英文摘要:

We present an analytical solution for classical correlation, defined in terms of linear entropy, in an arbitrary $d\otimes 2$ system when the second subsystem is measured. We show that the optimal measurements used in the maximization of the classical correlation in terms of linear entropy, when used to calculate the quantum discord in terms of von Neumann entropy, result in a tight upper bound for arbitrary $d\otimes 2$ systems. This bound agrees with all known analytical results about quantum discord in terms of von Neumann entropy and, when comparing it with the numerical results for $10^6$ two-qubit random density matrices, we obtain an average deviation of order $10^{-4}$. Furthermore, our results give a way to calculate the quantum discord for arbitrary $n$-qubit GHZ and W states evolving under the action of the amplitude damping noisy channel.

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