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Uniform matrix product states from an algebraic geometer's point of view

Authors :
Mateusz Michałek
Tim Seynnaeve
Adam Czapliński
Publication Year :
2023
Publisher :
ACADEMIC PRESS INC ELSEVIER SCIENCE, 2023.

Abstract

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.<br />Comment: 24 pages

Details

Language :
English
Database :
OpenAIRE
Accession number :
edsair.doi.dedup.....9fe8c4f7faee1804685c4fa460156f94