LINEAR MAPS PRESERVING TENSOR PRODUCTS OF RANK-ONE HERMITIAN MATRICES

DOI10.1017/S1446788714000603zbMath1320.15027OpenAlexW2151102542MaRDI QIDQ5253338

Jinli Xu, Baodong Zheng, Ajda Fošner

Publication date: 5 June 2015

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788714000603

zbMATH Keywords

linear preserverHermitian matrixtensor productquantum information sciencerank-one matrix

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Multilinear algebra, tensor calculus (15A69) Vector spaces, linear dependence, rank, lineability (15A03) Linear preserver problems (15A86) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (2)

Linear rank preservers of tensor products of rank one matrices ⋮ Linear rank one preservers on tensor products of Hermitian matrices

Cites Work

• Linear preservers of tensor product of unitary orbits, and product numerical range
• Selected preserver problems on algebraic structures of linear operators and on function spaces
• Additive rank-1 preservers between spaces of Hermitian matrices
• Additive rank-1 preservers between Hermitian matrix spaces and applications
• Linear Preserver Problems
• Linear preservers and quantum information science
• Characterizing operations preserving separability measures via linear preserver problems
• The automorphism group of separable states in quantum information theory

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