The Linear Span of Uniform Matrix Product States

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• ISSN: 1815-0659
• Main Authors: De Lazzari, Claudia, Motwani, Harshit J., Seynnaeve, Tim
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211805
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Linear Span of Uniform Matrix Product States. Claudia De Lazzari, Harshit J. Motwani and Tim Seynnaeve. SIGMA 18 (2022), 099, 18 pages

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...