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arXiv · 2204.10363

The Linear Span of Uniform Matrix Product States

Claudia De Lazzari·Harshit J Motwani·Tim Seynnaeve
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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.

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Claudia De Lazzari, Harshit J Motwani, Tim Seynnaeve. 2022-04-21. The Linear Span of Uniform Matrix Product States. https://doi.org/10.3842/sigma.2022.099

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