The Linear Span of Uniform Matrix Product States
Algebraic Geometry
2022-12-22 v3 Mathematical Physics
math.MP
Abstract
The variety of uniform matrix product states arises both in algebraic geometry as a natural generalization of the Veronese variety, and in quantum many-body physics as a model for a translation-invariant system of sites placed on a ring. Using methods from linear algebra, representation theory, and invariant theory of matrices, we study the linear span of this variety.
Keywords
Cite
@article{arxiv.2204.10363,
title = {The Linear Span of Uniform Matrix Product States},
author = {Claudia De Lazzari and Harshit J Motwani and Tim Seynnaeve},
journal= {arXiv preprint arXiv:2204.10363},
year = {2022}
}