Improvements on some partial trace inequalities for positive semidefinite block matrices

DOI10.1080/03081087.2022.2121368zbMath1529.15014arXiv2111.14626OpenAlexW3216324541WikidataQ114100521 ScholiaQ114100521MaRDI QIDQ6085873

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Publication date: 12 December 2023

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

Full work available at URL: https://arxiv.org/abs/2111.14626

zbMATH Keywords

positive semidefinitepartial transposepartial traces

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45) Positive linear operators and order-bounded operators (47B65)

Related Items (1)

Partial trace inequalities for partial transpose of positive semidefinite block matrices

Cites Work

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• The Hua matrix and inequalities related to contractive matrices
• A completely PPT map
• Some inequalities of majorization type
• On a decomposition lemma for positive semi-definite block-matrices
• Some applications of a majorization inequality due to Bapat and Sunder
• The off-diagonal block of a PPT matrix
• Trace inequalities for positive semidefinite block matrices
• Inequalities related to partial transpose and partial trace
• An upper bound on the sum of squares of degrees in a graph
• A Cauchy-Khinchin matrix inequality
• Positive matrices partitioned into a small number of Hermitian blocks
• Positivity of matrices with generalized matrix functions
• Separability of mixed states: necessary and sufficient conditions.
• On some inequalities related to positive block matrices
• Extensions of some matrix inequalities related to trace and partial traces
• Some applications of two completely copositive maps
• Inequalities related to trace and determinant of positive semidefinite block matrices
• Positivity of operator-matrices of Hua-type
• Partial subadditivity of entropies
• Quantum information theory and quantum statistics.
• A Singular Value Inequality Related to a Linear Map
• Inequalities related to 2 ✕ 2 block PPT matrices
• A Determinantal Inequality Involving Partial Traces
• Contractive matrices of Hua type
• An eigenvalue majorization inequality for positive semidefinite block matrices
• Inequalities regarding partial trace and partial determinant
• Inequalities about partial transpose and partial traces
• Inequalities on partial traces of positive semidefinite block matrices
• A new matrix inequality involving partial traces
• Linear maps of positive partial transpose matrices and singular value inequalities
• On the theory of functions of several complex variables. II. A complex orthonormal system in the hyperbolic space of the Lie-hypersphere
• Inequalities: theory of majorization and its applications
• Matrix theory. Basic results and techniques
• de Caen's inequality and bounds on the largest Laplacian eigenvalue of a graph

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