论文标题
量子一致性资源理论的通用方面
Generic aspects of the resource theory of quantum coherence
论文作者
论文摘要
不一致的操作类别会在量子纯状态的集合上诱导预订，这是由将一个状态转换为另一种状态的可能性通过类中的转换。我们证明，如果两个$ n $维纯状态是根据自然统一分布独立选择的，那么它们可比较消失的可能性为$ n \ rightarrow \ infty $。我们还研究了不一致转化的最大成功概率，并为其大$ n $渐近分布找到明确的公式。我们的分析是基于这样的观察结果，即从单元单纯性统一采样的随机点的极端值（最大和最小的成分）是渐近分布的，因为某些显式均匀的马尔可夫链。
The class of incoherent operations induces a pre-order on the set of quantum pure states, defined by the possibility of converting one state into the other by transformations within the class. We prove that if two $n$-dimensional pure states are chosen independently according to the natural uniform distribution, then the probability that they are comparable vanishes as $n\rightarrow\infty$. We also study the maximal success probability of incoherent conversions and find an explicit formula for its large-$n$ asymptotic distribution. Our analysis is based on the observation that the extreme values (largest and smallest components) of a random point uniformly sampled from the unit simplex are distributed asymptotically as certain explicit homogeneous Markov chains.
