Norm duality and the cross norm criteria for quantum entanglement

DOI10.1080/03081087.2012.753595zbMath1294.81027OpenAlexW2086451928MaRDI QIDQ5495748

Nathaniel Johnston

Publication date: 7 August 2014

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

Full work available at URL: https://doi.org/10.1080/03081087.2012.753595

zbMATH Keywords

dualitynormsquantum entanglementSchmidt number

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Quantum coherence, entanglement, quantum correlations (81P40) Tensor products of linear operators (47A80)

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Cites Work

• Minimal and maximal operator spaces and operator systems in entanglement theory
• Further results on the cross norm criterion for separability
• Realigning random states
• Cones of positive maps and their duality relations
• A separability criterion for density operators
• A family of norms with applications in quantum information theory
• Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model

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