On the partially symmetric rank of tensor products of \(W\)-states and other symmetric tensors

DOI10.4171/RLM/837zbMath1476.14090arXiv1803.01623WikidataQ114021394 ScholiaQ114021394MaRDI QIDQ2418836

Fulvio Gesmundo, Matthias Christandl, Edoardo Ballico, Alessandra Bernardi

Publication date: 29 May 2019

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.01623

zbMATH Keywords

entanglementtensor rankcactus rankW-statepartially symmetric rank

Mathematics Subject Classification ID

Rational and unirational varieties (14M20) Multilinear algebra, tensor calculus (15A69) Secant varieties, tensor rank, varieties of sums of powers (14N07)

Related Items (14)

Linearly dependent and concise subsets of a Segre variety depending on k factors ⋮ Geometric conditions for strict submultiplicativity of rank and border rank ⋮ Linearly dependent subsets of Segre varieties ⋮ Multigraded apolarity ⋮ Unnamed Item ⋮ Partially symmetric tensor structure preserving rank-\(R\) approximation via BFGS algorithm ⋮ Border Rank Is Not Multiplicative under the Tensor Product ⋮ Partially Symmetric Variants of Comon's Problem Via Simultaneous Rank ⋮ Identifiability of rank-3 tensors ⋮ Dependent subsets of embedded projective varieties ⋮ Rank and border rank of Kronecker powers of tensors and Strassen's laser method ⋮ Reconstruction of a homogeneous polynomial from its additive decompositions when identifiability fails ⋮ A Semidefinite Relaxation Method for Partially Symmetric Tensor Decomposition ⋮ Open -ranks with respect to Segre and Veronese varieties

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