Average entropy and asymptotics

Tatyana Barron; Manimugdha Saikia

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arXiv · 2303.14629

Average entropy and asymptotics

Tatyana Barron·Manimugdha Saikia

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Abstract

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.

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Tatyana Barron, Manimugdha Saikia. 2023-03-26. Average entropy and asymptotics. https://arxiv.org/abs/2303.14629

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