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Average entropy and asymptotics
Tatyana Barron,Manimugdha Saikia 대한수학회 2024 대한수학회지 Vol.61 No.1
We determine the $N\to\infty$ asymptotics of the expected value of entanglement entropy for pure states 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.