Linear rank one preservers on tensor products of Hermitian matrices

DOI10.1080/03081087.2015.1115811zbMath1344.15015OpenAlexW2172775424MaRDI QIDQ2805657

Jinting Lau, Ming-Huat Lim

Publication date: 12 May 2016

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

Full work available at URL: https://doi.org/10.1080/03081087.2015.1115811

zbMATH Keywords

linear preserverrankHermitian matrixtensor productquantum information

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 (1)

Nonstandard rank-one nonincreasing maps on symmetric matrices

Cites Work

• Linear preservers of tensor product of unitary orbits, and product numerical range
• Rank-one nonincreasing additive mappings on second symmetric product spaces
• Additive mappings on symmetric matrices
• Additive mappings between Hermitian matrix spaces preserving rank not exceeding one
• Linear maps preserving separability of pure states
• Linear preservers and quantum information science
• Linear maps preserving rank of tensor products of matrices
• Additive preservers of tensor product of rank one hermitian matrices
• LINEAR MAPS PRESERVING TENSOR PRODUCTS OF RANK-ONE HERMITIAN MATRICES
• The automorphism group of separable states in quantum information theory
• Additive maps on hermitian matrices
• Coherence Invariant Mappings on Kronecker Products

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