Cumulant Structures of Entanglement Entropy
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909483907678208 |
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| author | Huang, Youyi Wei, Lu |
| author_facet | Huang, Youyi Wei, Lu |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_05371 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cumulant Structures of Entanglement Entropy Huang, Youyi Wei, Lu Mathematical Physics Information Theory Quantum Physics 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. |
| title | Cumulant Structures of Entanglement Entropy |
| topic | Mathematical Physics Information Theory Quantum Physics |
| url | https://arxiv.org/abs/2502.05371 |