标题： 量子纠缠的平均容量 显示英文标题

标题： Average capacity of quantum entanglement

摘要： 作为纠缠熵的替代方案，纠缠容量成为探测和估计量子双部分系统纠缠程度的一个有前景的候选者。 在这项工作中，我们研究了典型随机态模型下纠缠容量的典型行为。 特别是，在希尔伯特-施密特系综和布勒斯-霍尔系综下，已经得出了平均容量的精确公式和渐近公式。 所得公式推广了文献中最近计算的一些关于平均容量的部分结果。 为了得出这些结果，我们利用了与正交多项式和特殊函数相关的随机矩阵理论的最新进展。 数值研究表明了平均容量作为纠缠指示器的实用性。 显示英文摘要

摘要： As an alternative to entanglement entropies, the capacity of entanglement becomes a promising candidate to probe and estimate the degree of entanglement of quantum bipartite systems. In this work, we study the typical behavior of entanglement capacity over major models of random states. In particular, the exact and asymptotic formulas of average capacity have been derived under the Hilbert-Schmidt and Bures-Hall ensembles. The obtained formulas generalize some partial results of average capacity computed recently in the literature. As a key ingredient in deriving the results, we make use of recent advances in random matrix theory pertaining to the underlying orthogonal polynomials and special functions. Numerical study has been performed to illustrate the usefulness of average capacity as an entanglement indicator.