A CYCLE DECOMPOSITION AND ENTROPY PRODUCTION FOR CIRCULANT QUANTUM MARKOV SEMIGROUPS

DOI10.1142/S0219025713500161zbMath1302.46051arXiv1210.6401MaRDI QIDQ2842036

Roberto Quezada, Jorge R. Bolaños-Servin

Publication date: 30 July 2013

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.6401

zbMATH Keywords

entropy production ratenon-equilibrium steady statecirculant quantum Markov semigroupquantum cycle representationweighted detailed balance

Mathematics Subject Classification ID

Noncommutative probability and statistics (46L53) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Continuous-time Markov processes on discrete state spaces (60J27) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

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Cites Work

• Detailed balance, time reversal, and generators of quantum Markov semigroups
• On the detailed balance condition for non-Hamiltonian systems
• Quantum detailed balance and KMS condition
• Quantum information theory and quantum statistics.
• Linear transformations which preserve trace and positive semidefiniteness of operators
• GENERATORS OF DETAILED BALANCE QUANTUM MARKOV SEMIGROUPS
• GENERIC QUANTUM MARKOV SEMIGROUPS, CYCLE DECOMPOSITION AND DEVIATION FROM EQUILIBRIUM
• The Choi–Jamiolkowski forms of quantum Gaussian channels
• Matrix theory. Basic results and techniques

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