论文标题
量化纯状状态相干性的连贯性
Quantifying coherence in terms of the pure-state coherence
论文作者
论文摘要
量化量子相干性是一致性资源理论的关键任务。在这里，我们在状态转换过程中建立了一个良好的连贯性单调，该过程会自动赋予连贯性单调的操作含义。我们表明，任何状态都可以通过相应的不一致的通道从某些输入纯状态产生。特别发现，给定状态的连贯性可以很好地表征输入纯状态的最小相干性，因此仅通过有效量化输入纯状态来确定相干性单调。特别是，我们表明我们提出的一致性单调是所有连贯单调的至高无上的单调，它们在任何给定的纯状态下都具有相同的连贯性。考虑到凸度，我们证明我们提出的相干度量是基于凸屋顶结构的相干度量的子集。作为一种应用，我们通过采用纯状态的几何连贯性来提供我们连贯度量的具体表达。我们还对Qubit状态进行了彻底的分析，并最终获得了一系列的分析相干度量。
Quantifying quantum coherence is a key task in the resource theory of coherence. Here we establish a good coherence monotone in terms of a state conversion process, which automatically endows the coherence monotone with an operational meaning. We show that any state can be produced from some input pure states via the corresponding incoherent channels. It is especially found that the coherence of a given state can be well characterized by the least coherence of the input pure states, so a coherence monotone is established by only effectively quantifying the input pure states. In particular, we show that our proposed coherence monotone is the supremum of all the coherence monotones that give the same coherence for any given pure state. Considering the convexity, we prove that our proposed coherence measure is a subset of the coherence measure based on the convex roof construction. As an application, we give a concrete expression of our coherence measure by employing the geometric coherence of a pure state. We also give a thorough analysis on the states of qubit and finally obtain series of analytic coherence measures.
