Highly entangled tensors

DOI10.1080/03081087.2020.1726276zbMath1495.15037arXiv1803.09788OpenAlexW3005798503WikidataQ114100593 ScholiaQ114100593MaRDI QIDQ5070359

Visu Makam, H. G. J. Derksen

Publication date: 11 April 2022

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.09788

zbMATH Keywords

spectral normnuclear normgeometric measure of entanglement

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Quantum measurement theory, state operations, state preparations (81P15) Integration of real functions of several variables: length, area, volume (26B15) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Multilinear algebra, tensor calculus (15A69) Quantum coherence, entanglement, quantum correlations (81P40)

Related Items (2)

Some new \(Z\)-eigenvalue localization sets for even-order tensors and their application in the geometric measure of entanglement ⋮ Z-eigenvalue localization sets for tensors and the applications in rank-one approximation and quantum entanglement

Cites Work

• On the nuclear norm and the singular value decomposition of tensors
• On tensor completion via nuclear norm minimization
• The number of singular vector tuples and uniqueness of best rank-one approximation of tensors
• How entangled can a multi-party system possibly be?
• Monotones and invariants for multi-particle quantum states
• The Computational Complexity of Duality
• Semidefinite Relaxations for Best Rank-1 Tensor Approximations
• Quantum entanglement
• Entanglement in many-body systems
• Nuclear norm of higher-order tensors
• Most boson quantum states are almost maximally entangled
• An Introduction to Entanglement Theory
• Symmetric Tensor Nuclear Norms

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