论文标题
无需定理，用于确定性纯化和相干性的概率增强
No-go theorems for deterministic purification and probabilistic enhancement of coherence
论文作者
论文摘要
量子一致性的操纵是一致性资源理论中的主要问题之一，两个关键主题是纯化和增强连贯性。在这里，我们介绍了两个无关定理，分别用于确定性纯化相干性和相干性的概率增强。具体而言，我们证明，如果可以将量子状态表示为不连贯状态和相干状态的凸组合，则不能确定性地纯化。此外，我们提供了一个易于验证的足够和必要的条件，以确定是否可以通过随机严格不一致的操作（SSIO）来概率增强状态。我们的发现分别为确定性纯化和相干性增强提供了两个可行性标准。这些结果对对实际量子系统中量子相干性的理解产生了影响。
The manipulation of quantum coherence is one of the principal issues in the resource theory of coherence, with two critical topics being the purification and enhancement of coherence. Here, we present two no-go theorems for the deterministic purification of coherence and the probabilistic enhancement of coherence, respectively. Specifically, we prove that a quantum state cannot be deterministically purified if it can be expressed as a convex combination of an incoherent state and a coherent state. Besides, we give an easy-to-verified sufficient and necessary condition to determine whether a state can be probabilistically enhanced via a stochastic strictly incoherent operation (sSIO). Our findings provide two feasibility criteria for the deterministic purification and the probabilistic enhancement of coherence, respectively. These results have repercussions on the understanding of quantum coherence in real quantum systems.
