Quantum entanglement, Calabi-Yau manifolds, and noncommutative algebraic geometry
Quantum Physics
2014-02-18 v1 Algebraic Geometry
Abstract
We relate SLOCC equivalence classes of qudit states to moduli spaces of Calabi-Yau manifolds equipped with a collection of line bundles. The cases of 3 qutrits and 4 qubits are also related to noncommutative algebraic geometry.
Keywords
Cite
@article{arxiv.1402.3768,
title = {Quantum entanglement, Calabi-Yau manifolds, and noncommutative algebraic geometry},
author = {Shinnosuke Okawa and Kazushi Ueda},
journal= {arXiv preprint arXiv:1402.3768},
year = {2014}
}
Comments
11 pages. Comments welcome!