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Symmetry, Integrability and Geometry: Methods and Applications, 2022, Volume 18, 099, 18 pp.
DOI: https://doi.org/10.3842/SIGMA.2022.099 (Mi sigma1895) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The Linear Span of Uniform Matrix Product States

Claudia De Lazzaria, Harshit J. Motwanib, Tim Seynnaevec

a Dipartimento di Matematica, Università di Trento, Via Sommarive 14, 38123 Povo (TN), Italy
b Department of Mathematics: Algebra and Geometry, Ghent University, 9000 Gent, Belgium
c Department of Computer Science, KU Leuven, Celestijnenlaan 200A, 3001 Leuven, Belgium
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DOI: https://doi.org/10.3842/SIGMA.2022.099
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: matrix product states, invariant theory of matrices.
Funding agency Grant number
Fonds Wetenschappelijk Onderzoek G023721N
G0F5921N
Ghent University BOF21/DOC/182
STA/201909/038
The second author is supported by FWO grants (G023721N and G0F5921N) and UGent BOF grants (BOF21/DOC/182 and STA/201909/038).
Received: June 3, 2022; in final form December 15, 2022; Published online December 21, 2022
Bibliographic databases:
Document Type: Article
MSC: 15A69, 20G05, 81P45
Language: English
Citation: Claudia De Lazzari, Harshit J. Motwani, Tim Seynnaeve, “The Linear Span of Uniform Matrix Product States”, SIGMA, 18 (2022), 099, 18 pp.
Citation in format AMSBIB
\Bibitem{De MotSey22}
\by Claudia~De Lazzari, Harshit~J.~Motwani, Tim~Seynnaeve
\paper The Linear Span of Uniform Matrix Product States
\jour SIGMA
\yr 2022
\vol 18
\papernumber 099
\totalpages 18
\mathnet{http://mi.mathnet.ru/sigma1895}
\crossref{https://doi.org/10.3842/SIGMA.2022.099}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4523958}
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    • This publication is cited in the following 1 articles:
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    		Symmetry, Integrability and Geometry: Methods and Applications
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