Logarithmic Sobolev inequalities in non-commutative algebras
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Publication:5500466
DOI10.1142/S0219025715500113zbMath1341.46040OpenAlexW2270795191MaRDI QIDQ5500466
Andrea Martinelli, Raffaella Carbone
Publication date: 6 August 2015
Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219025715500113
One-parameter semigroups and linear evolution equations (47D06) Noncommutative probability and statistics (46L53) Markov processes (60J99) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)
Related Items (8)
Complete entropic inequalities for quantum Markov chains ⋮ Linear and nonlinear dissipative dynamics ⋮ Quantum reverse hypercontractivity: its tensorization and application to strong converses ⋮ Entropy decay for Davies semigroups of a one dimensional quantum lattice ⋮ Exponential decay of matrix Φ-entropies on Markov semigroups with applications to dynamical evolutions of quantum ensembles ⋮ Matrix Poincaré, Φ-Sobolev inequalities, and quantum ensembles ⋮ The quantum drift-diffusion model: existence and exponential convergence to the equilibrium ⋮ Hypercontractivity and logarithmic Sobolev inequality for non-primitive quantum Markov semigroups and estimation of decoherence rates
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