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arXiv 1503.07103quant-ph
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最大相干态

Maximally coherent states

Zhaofang Bai, Shuanping Du

摘要:

量子相干性是量子系统的一个重要性质,相对熵是最近提出的量化量子相干性的测度.本文研究了最大相干态(MCS)与相对熵测度的关系。%(用$\mathcal C_{RE}$表示)%。我们证明了不存在混合最大相干态,并给出了纯最大相干态的完整刻画。在此基础上,对具有$d_A=d_B$的二分MCS,我们得到了相对熵测度的超可加性等式成立当且仅当状态是其约化态的乘积态.从量子信息资源的角度出发,我们发现存在一个最大纠缠的MCS。从量子关联在噪声作用下的行为出发,我们进一步对产生最大相干态的非相干作用进行了分类。

英文摘要:

Relative entropy measure quantifying coherence, a key property of quantum system, is proposed recently. In this note, we investigate the maximally coherent state (MCS) with respect to relative entropy measure. %(denoted by $\mathcal C_{RE}$)%. We show that there are not mixed maximally coherent states and give a complete characterization of pure maximally coherent states. Based on this characterization, for a bipartite MCS with $d_A=d_B$, we obtain that the super-additivity equality of relative entropy measure holds if and only if the state is a product state of its reduced states. From the viewpoint of resource in quantum information, we find there exists a MCS with maximal entanglement. Originated from the behaviour of quantum correlation under the influence of noisy operations, we further classify the incoherent operations which send maximally coherent states to themselves.

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