Average capacity of quantum entanglement

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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 statistical 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 techniques in random matrix theory and our previous results pertaining to the underlying orthogonal polynomials and special functions. Simulations have been performed to numerically verify the derived formulas.

Original languageEnglish
Article number015302
JournalJournal of Physics A: Mathematical and Theoretical
Issue number1
StatePublished - Jan 6 2023


  • Bures-Hall ensemble
  • Hilbert-Schmidt ensemble
  • entanglement capacity
  • quantum entanglement
  • random matrix theory
  • special functions


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