The Linear Span of Uniform Matrix Product States
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...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2022 |
| ISSN: | 1815-0659 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2022
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211805 |
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| 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 |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862722109276422144 |
|---|---|
| author | De Lazzari, Claudia Motwani, Harshit J. Seynnaeve, Tim |
| author_facet | De Lazzari, Claudia Motwani, Harshit J. Seynnaeve, Tim |
| citation_txt | The Linear Span of Uniform Matrix Product States. Claudia De Lazzari, Harshit J. Motwani and Tim Seynnaeve. SIGMA 18 (2022), 099, 18 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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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| first_indexed | 2026-03-21T04:21:24Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211805 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T04:21:24Z |
| publishDate | 2022 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | De Lazzari, Claudia Motwani, Harshit J. Seynnaeve, Tim 2026-01-12T10:11:58Z 2022 The Linear Span of Uniform Matrix Product States. Claudia De Lazzari, Harshit J. Motwani and Tim Seynnaeve. SIGMA 18 (2022), 099, 18 pages 1815-0659 2020 Mathematics Subject Classification: 15A69; 20G05; 81P45 arXiv:2204.10363 https://nasplib.isofts.kiev.ua/handle/123456789/211805 https://doi.org/10.3842/SIGMA.2022.099 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. The third author would like to thank Alessandra Bernardi, Jaroslaw Buczyński, Joseph Landsberg, and Frank Verstraete for many helpful discussions. The second author is supported by FWO grants (G023721N and G0F5921N) and UGent BOF grants (BOF21/DOC/182 and STA/201909/038). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The Linear Span of Uniform Matrix Product States Article published earlier |
| spellingShingle | The Linear Span of Uniform Matrix Product States De Lazzari, Claudia Motwani, Harshit J. Seynnaeve, Tim |
| title | The Linear Span of Uniform Matrix Product States |
| title_full | The Linear Span of Uniform Matrix Product States |
| title_fullStr | The Linear Span of Uniform Matrix Product States |
| title_full_unstemmed | The Linear Span of Uniform Matrix Product States |
| title_short | The Linear Span of Uniform Matrix Product States |
| title_sort | linear span of uniform matrix product states |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211805 |
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