Average capacity of quantum entanglement

Abstract As an alternative to entanglement entropies, the capacity of becomes a promising candidate probe and estimate degree quantum bipartite systems. In this work, we study statistical behavior over major models random states. particular, exact asymptotic formulas average have been derived under Hilbert–Schmidt Bures-Hall ensembles. The obtained generalize some partial results computed recently in literature. key ingredient deriving results, make use techniques matrix theory our previous pertaining underlying orthogonal polynomials special functions. Simulations performed numerically verify formulas.