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<p>We present a new method to derive exact cumulant expressions of any order of von Neumann entropy over Hilbert–Schmidt ensemble. The new method uncovers hidden cumulant structures that decouple each cumulant in a summation-free manner into its lower-order joint cumulants involving families of ancillary statistics. Importantly, the new method is able to avoid the seemingly inevitable task of simplifying nested summations of increasing difficulty that prevents the existing method in the literature to obtain higher-order cumulants.</p>

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Cumulant Structures of Entanglement Entropy

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年7月14日

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  • Youyi Huang,
  • Lu Wei

摘要

We present a new method to derive exact cumulant expressions of any order of von Neumann entropy over Hilbert–Schmidt ensemble. The new method uncovers hidden cumulant structures that decouple each cumulant in a summation-free manner into its lower-order joint cumulants involving families of ancillary statistics. Importantly, the new method is able to avoid the seemingly inevitable task of simplifying nested summations of increasing difficulty that prevents the existing method in the literature to obtain higher-order cumulants.