Czapliński, Adam; Michałek, Mateusz; Seynnaeve, Tim (2023). Uniform matrix product states from an algebraic geometer's point of view. Advances in applied mathematics, 142, p. 102417. Elsevier 10.1016/j.aam.2022.102417
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We apply methods from algebraic geometry to study uniform matrix product states. Our main results concern the topology of the locus of tensors expressed as uMPS, their defining equations and identifiability. By an interplay of theorems from algebra, geometry and quantum physics we answer several questions and conjectures posed by Critch, Morton and Hackbusch.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Seynnaeve, Tim |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0196-8858 |
Publisher: |
Elsevier |
Language: |
English |
Submitter: |
Zarif Ibragimov |
Date Deposited: |
14 Mar 2023 15:03 |
Last Modified: |
19 Mar 2023 02:15 |
Publisher DOI: |
10.1016/j.aam.2022.102417 |
BORIS DOI: |
10.48350/180023 |
URI: |
https://boris.unibe.ch/id/eprint/180023 |
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