论文标题
量子状态的连贯预订
Coherent preorder of quantum states
论文作者
论文摘要
作为重要的量子资源，量子相干性在量子信息处理中起关键作用。它通常与孤立的量子状态家庭而不是单个状态的家庭操纵有关。给定两对连贯的状态$（ρ_1，ρ_2）$和$（σ_1，σ_2）$，我们的目的是研究如何确定是否存在严格的不连贯的操作$φ$φ$，从而使$φ（ρ_i）=σ_i=σ_i，i = 1,2 $。这也是量子假设检验中的经典问题。在本说明中，提供了在强烈不一致的操作下相干预订的结构表征。在表征的基础上，我们提出了一种方法，以实现从等级两个混合相干状态到$ q $级别最大相干状态的连贯蒸馏。此外，还提出了一种连贯性操纵的方案，即两种混合状态之间。
As an important quantum resource, quantum coherence play key role in quantum information processing. It is often concerned with manipulation of families of quantum states rather than individual states in isolation. Given two pairs of coherent states $(ρ_1,ρ_2)$ and $(σ_1,σ_2)$, we are aimed to study how can we determine if there exists a strictly incoherent operation $Φ$ such that $Φ(ρ_i) =σ_i,i = 1,2$. This is also a classic question in quantum hypothesis testing. In this note, structural characterization of coherent preorder under strongly incoherent operations is provided. Basing on the characterization, we propose an approach to realize coherence distillation from rank-two mixed coherent states to $q$-level maximally coherent states. In addition, one scheme of coherence manipulation between rank-two mixed states is also presented.
