Papers › The Linear Span of Uniform Matrix Product States

The Linear Span of Uniform Matrix Product States

21 Apr 2022arXiv:2204.10363links table onlyarchive 2025-07-28

Claudia De Lazzari, Harshit J Motwani, Tim Seynnaeve

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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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