Journal of the
Korean Mathematical Society JKMS

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.

Keywords: K\"ahler manifold, line bundle, semiclassical limit, entanglement entropy

MSC numbers: Primary 53D50, 81S10, 81P17

Supported by: This work was partially financially supported by the University of Western Ontario Bridge Grant project number R3659A04.