scientific article; zbMATH DE number 6949368

zbMath1401.81027arXiv1710.11416MaRDI QIDQ4685885

Xuefeng Wang, Chi-Kwong Li, Yiu-Tung Poon

Publication date: 9 October 2018

Full work available at URL: https://arxiv.org/abs/1710.11416

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zbMATH Keywords

eigenvaluerankquantum statequantum channelpartial tracereduced state

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) Operator spaces and completely bounded maps (46L07) Applications of functional analysis in quantum physics (46N50) Channel models (including quantum) in information and communication theory (94A40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (2)

Unnamed Item ⋮ Maximal lexicographic spectra and ranks for states with fixed uniform margins

Cites Work

• States, effects, and operations. Fundamental notions of quantum theory. Lectures in mathematical physics at the University of Texas at Austin. Ed. by A. Böhm, J. D. Dollard and W. H. Wootters
• Completely positive linear maps on complex matrices
• Stable bundles, representation theory and Hermitian operators
• Eigenvalues, invariant factors, highest weights, and Schubert calculus
• Doubly Stochastic Matrices and the Diagonal of a Rotation Matrix

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