Detailed balance, time reversal, and generators of quantum Markov semigroups

DOI10.1134/S0001434608070092zbMath1221.47080OpenAlexW2037372454MaRDI QIDQ635589

Franco Fagnola, Veronica Umanità

Publication date: 20 August 2011

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434608070092

zbMATH Keywords

time reversalquantum Markov semigroupantiunitary operatorLindblad representationquantum detailed balance

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Noncommutative dynamical systems (46L55) Quantum stochastic calculus (81S25) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

Related Items

Linear response theory and entropic fluctuations in repeated interaction quantum systems ⋮ Entropy production of quantum Markov semigroup associated with open quantum walks on the periodic graphs ⋮ Generators of KMS symmetric Markov semigroups on \({\mathcal B}(\mathsf{h})\): symmetry and quantum detailed balance ⋮ Quantum fluctuation relations for the Lindblad master equation ⋮ Entropy production along nonequilibrium quantum jump trajectories ⋮ Entropic fluctuations of quantum dynamical semigroups ⋮ A CYCLE DECOMPOSITION AND ENTROPY PRODUCTION FOR CIRCULANT QUANTUM MARKOV SEMIGROUPS

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