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Average entropy and asymptotics
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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.
Abstract
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.
참고문헌 (10)
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관련 논문AI추천
Erratum : Average entropy and asymptoticsManimugdha Saikia, Tatyana Barron대한수학회 · 대한수학회지2026 · 제63권 제1호Harmonic K\＂{a}hler forms on hyperk\＂{a}hler manifolds박광순대한수학회 · 대한수학회논문집2003 · 제18권 제3호Equilateral dimension of the Riemannian manifold of $2 \times 2$ positive definite matrices김세종, 김준형대한수학회 · 대한수학회논문집2025 · 제40권 제2호Quantum Super Theta Vectors and Theta Functions김호일경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제1호Super Theta Vectors and Super Quantum Theta Operators김호일경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제3호Laplacian on a quantum Heisenberg manifold이현호대한수학회 · 대한수학회논문집2013 · 제28권 제3호
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