K\"ahler quantization and entanglement

TL;DR

This paper explores the entanglement characteristics of specific sequences of vectors derived from holomorphic sections of powers of a very ample line bundle on a complex manifold, linking geometric quantization with quantum entanglement.

Contribution

It introduces a novel analysis of entanglement in the context of Kähler quantization on complex manifolds with real structures, connecting geometric and quantum information concepts.

Findings

Identification of entanglement properties in sequences of holomorphic sections

Establishment of links between Kähler quantization and quantum entanglement

Insights into the geometric structure influencing entanglement patterns

Abstract

For a very ample line bundle L on a compact connected complex manifold X, with a real structure, we discuss entanglement properties of certain sequences of vectors in tensor products of spaces of holomorphic sections of powers of L.