Gradient flow structure and exponential decay of the sandwiched Rényi divergence for primitive Lindblad equations with GNS-detailed balance

DOI10.1063/1.5083065zbMath1414.81141arXiv1810.00906OpenAlexW2895714162WikidataQ115553626 ScholiaQ115553626MaRDI QIDQ5379491

Yu Cao, Yulong Lu, Jian-feng Lu

Publication date: 12 June 2019

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.00906

zbMATH Keywords

entropygradient flowquantum Markov semigroupdetailed balance

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Measures of information, entropy (94A17) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57) Open systems, reduced dynamics, master equations, decoherence (81S22)

Related Items (3)

Interpolation between modified logarithmic Sobolev and Poincaré inequalities for quantum Markovian dynamics ⋮ Exponential decay of Rényi divergence under Fokker-Planck equations ⋮ Relative entropy for von Neumann subalgebras

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