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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2303.14629 |
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| _version_ | 1866913583993978880 |
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| author | Barron, Tatyana Saikia, Manimugdha |
| author_facet | Barron, Tatyana Saikia, Manimugdha |
| contents | We determine the $N\to \infty$ asymptotics of the expected value of entanglement entropy in $H_{1,N}\otimes H_{2,N}$, where $H_{1,N}$ and $H_{2,N}$ are the spaces of holomorphic sections of the $N$-th tensor powers of hermitian ample line bundles on compact complex manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_14629 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Average entropy and asymptotics Barron, Tatyana Saikia, Manimugdha Differential Geometry Mathematical Physics We determine the $N\to \infty$ asymptotics of the expected value of entanglement entropy in $H_{1,N}\otimes H_{2,N}$, where $H_{1,N}$ and $H_{2,N}$ are the spaces of holomorphic sections of the $N$-th tensor powers of hermitian ample line bundles on compact complex manifolds. |
| title | Average entropy and asymptotics |
| topic | Differential Geometry Mathematical Physics |
| url | https://arxiv.org/abs/2303.14629 |