Coherent states and entropy

Tatyana Barron; Alexander Kazachek

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arXiv · 2303.06185

Coherent states and entropy

Tatyana Barron·Alexander Kazachek

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Abstract

Let $H_k$, $k\in {\mathbb{N}}$, be the Hilbert spaces of geometric quantization on a K\"ahler manifold $M$. With two points in $M$ we associate a Bell-type state $b_k \in H_k\otimes H_k$. When $M$ is compact or when $M$ is ${\mathbb{C}}^n$, we provide positive lower bounds for the entanglement entropy of $b_k$ (asymptotic in $k$, as $k\to\infty$).

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Tatyana Barron, Alexander Kazachek. 2023-03-10. Coherent states and entropy. https://arxiv.org/abs/2303.06185

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