Average capacity of quantum entanglement

• URL: http://arxiv.org/abs/2205.06343v1
• Date: Thu, 12 May 2022 20:10:34 GMT
• Title: Average capacity of quantum entanglement
• Authors: Lu Wei
• Abstract summary: The capacity of entanglement becomes a promising candidate to probe and estimate the degree of quantum bipartite systems. In particular, the exact and formulas of average capacity have been derived under the Hilbert-Schmidt and Bures-Hall ensembles. Numerical study has been performed to illustrate the usefulness of average capacity as an entanglement indicator.
• Score: 3.8265321702445267
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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