A trace inequality arising from quantum information theory

DOI10.1016/j.laa.2004.11.009zbMath1078.15015OpenAlexW1981019056MaRDI QIDQ1779258

Jun Ichi Fujii

Publication date: 1 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.11.009

zbMATH Keywords

Jensen's inequalityquantum information theorytrace inequalityskew informationselfadjoint matrices

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Information theory (general) (94A15)

Related Items (14)

Uncertainty relation on Wigner-Yanase-Dyson skew information ⋮ Trace inequalities in nonextensive statistical mechanics ⋮ A generalized Wigner–Yanase skew information ⋮ Ordering positive definite matrices ⋮ INEQUALITIES OF OPERATOR VALUED QUANTUM SKEW INFORMATION ⋮ TRACE INEQUALITIES FOR MATRICES ⋮ Uncertainty relation associated with a monotone pair skew information ⋮ Uncertainty relation on generalized Wigner-Yanase-Dyson skew information ⋮ Matrix versions of some classical inequalities ⋮ Noncommutative versions of inequalities in quantum information theory ⋮ Further results on Jensen-type inequalities ⋮ Trace inequalities for products of matrices ⋮ Trace inequalities on a generalized Wigner-Yanase skew information ⋮ Inequalities for Tsallis relative entropy and generalized skew information

Cites Work

• Some inequalities for norms on matrices and operators
• On trace inequalities and their applications to noncommutative communication theory
• Convex trace functions and the Wigner-Yanase-Dyson conjecture
• Reliability function of general classical-quantum channel
• Trace inequalities for multiple products of two matrices

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