Linear preservers and quantum information science

DOI10.1080/03081087.2012.740029zbMath1290.15017arXiv1208.1076OpenAlexW2087053789MaRDI QIDQ2872506

Nung-Sing Sze, Ajda Fošner, Chi-Kwong Li, Ze-Jun Huang

Publication date: 15 January 2014

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

Full work available at URL: https://arxiv.org/abs/1208.1076

zbMATH Keywords

spectral radiusspectrumlinear preserverHermitian matrixtensor productquantum information sciencetensor state

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Multilinear algebra, tensor calculus (15A69) Linear preserver problems (15A86) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items

Maps preserving transition probability from pure product states to pure states ⋮ Linear rank preservers of tensor products of rank one matrices ⋮ Linear maps preserving determinant of tensor products of Hermitian matrices ⋮ Linear transformations between multipartite quantum systems that map the set of tensor product of idempotent matrices into idempotent matrix set ⋮ Linear maps preserving Kronecker quotients ⋮ Linear maps preserving rank of tensor products of matrices ⋮ Linear maps on nonnegative symmetric matrices preserving the independence number ⋮ Linear maps on upper triangular matrices spaces preserving idempotent tensor products ⋮ Rank nonincreasing linear maps preserving the determinant of tensor product of matrices ⋮ Linear maps preserving \(r\)-potents of tensor products of matrices ⋮ Linear maps preserving numerical radius of tensor products of matrices ⋮ Linear maps preserving idempotents of tensor products of matrices ⋮ Linear rank one preservers on tensor products of Hermitian matrices ⋮ A note on classical adjoint commuting linear maps of tensor products of matrices ⋮ A note on linear preservers of certain ranks of tensor products of matrices ⋮ Unnamed Item ⋮ LINEAR MAPS PRESERVING TENSOR PRODUCTS OF RANK-ONE HERMITIAN MATRICES ⋮ Commuting additive maps on tensor products of matrices

Cites Work

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