Tensor decompositions on simplicial complexes with invariance

DOI10.1016/j.jsc.2024.102299arXiv1909.01737OpenAlexW2971766044MaRDI QIDQ6192536

Tim Netzer, Matt Hoogsteder Riera, Gemma De las Cuevas

Publication date: 11 March 2024

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.01737

zbMATH Keywords

positivitygroup actiontensor decompositionquantum many-body systems

Mathematics Subject Classification ID

Factorization of matrices (15A23) Spinor and twistor methods applied to problems in quantum theory (81R25) Many-body theory; quantum Hall effect (81V70) Multilinear algebra, tensor calculus (15A69)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Symmetric tensor decomposition
• PEPS as ground states: degeneracy and topology
• Positive semidefinite rank
• Expressing combinatorial optimization problems by linear programs
• Exponential Lower Bounds for Polytopes in Combinatorial Optimization
• Comon's Conjecture, Rank Decomposition, and Symmetric Rank Decomposition of Symmetric Tensors
• Mixed states in one spatial dimension: Decompositions and correspondence with nonnegative matrices
• Open problems in the theory of completely positive and copositive matrices
• Conic Approach to Quantum Graph Parameters Using Linear Optimization Over the Completely Positive Semidefinite Cone
• A Counterexample to Comon's Conjecture
• Approximate tensor decompositions: Disappearance of many separations
• Lifts of Convex Sets and Cone Factorizations
• Symmetric Tensors and Symmetric Tensor Rank
• Most Tensor Problems Are NP-Hard