Entropy, stochastic matrices, and quantum operations

DOI10.1080/03081087.2013.779266zbMath1293.15020arXiv1110.6321OpenAlexW2030101886WikidataQ62037120 ScholiaQ62037120MaRDI QIDQ5409966

Lin Zhang

Publication date: 15 April 2014

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

Full work available at URL: https://arxiv.org/abs/1110.6321

zbMATH Keywords

entropyquantum operationssubadditivity inequalitysaturation, stochastic matrices

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Miscellaneous inequalities involving matrices (15A45) Stochastic matrices (15B51) Quantum state spaces, operational and probabilistic concepts (81P16)

Cites Work

• On entropy-preserving stochastic averages
• Structure of sufficient quantum coarse-grainings
• Completely positive linear maps on complex matrices
• Von Neumann entropy-preserving quantum operations
• Extremal quantum states in coupled systems
• On extremal quantum states of composite systems with fixed marginals
• Interpolation by completely positive maps
• Subadditivity of Entropy for Stochastic Matrices
• Composition of quantum states and dynamical subadditivity