On the closedness and geometry of tensor network state sets

DOI10.1007/s11005-022-01552-zOpenAlexW3192183957WikidataQ114224870 ScholiaQ114224870MaRDI QIDQ2162500

Thomas Barthel, Gero Friesecke, Jian-feng Lu

Publication date: 8 August 2022

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.00031

zbMATH Keywords

algebraic geometrytensor networksmatrix product statesmultiscale entanglement renormalization ansatzprojected entangled-pair statesnonexistence of optimizers

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Many-body theory; quantum Hall effect (81V70) Relationships between surfaces, higher-dimensional varieties, and physics (14J81) Multilinear algebra, tensor calculus (15A69) Canonical forms, reductions, classification (15A21)

Related Items (4)

Two-electron wavefunctions are matrix product states with bond dimension three ⋮ Dimension of tensor network varieties ⋮ Uniform matrix product states from an algebraic geometer's point of view ⋮ The linear span of uniform matrix product states

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