Cumulant Structures of Entanglement Entropy
Abstract
Abstract 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.
Fields of Study & Subjects
Advanced Thermodynamics and Statistical Mechanics
Statistical Mechanics and Entropy
Publication details
- Journal / source
- Annales Henri Poincaré
- Publisher
- Springer Science and Business Media LLC
- Publication date
- 14 July 2026
- Language
- EN