Introduction to Classical and Quantum Markov Semigroups

DOI10.1007/978-3-030-13046-6_1zbMath1471.81055OpenAlexW2954669021MaRDI QIDQ4969606

Alexander C. R. Belton

Publication date: 13 October 2020

Published in: Open Quantum Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-13046-6_1

zbMATH Keywords

Markov processopen quantum systemdynamical semigroup

Mathematics Subject Classification ID

Free semigroups, generators and relations, word problems (20M05) One-parameter semigroups and linear evolution equations (47D06) Markov semigroups and applications to diffusion processes (47D07) Schrödinger and Feynman-Kac semigroups (47D08) Open systems, reduced dynamics, master equations, decoherence (81S22)

Related Items (1)

G-Circulant Quantum Markov Semigroups

Cites Work

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• General state changes in quantum theory
• Un résultat sur le dual d'une \(C^*\)-algèbre
• Quantum dynamical semigroups and applications. Based on lectures given at the 20th symposium on theoretical chemistry, Emmetten, Switzerland, 1984
• Markov dilations on \(W^ *\)-algebras
• Markov quantum semigroups admit covariant Markov \(C^ *\)-dilations
• The generators of positive semigroups
• On the generators of quantum dynamical semigroups
• Kolmogorov's existence theorem for Markov processes in \(C^*\) algebras
• The Grothendieck-Pietsch and Dvoretzky-Rogers theorems for operator spaces
• Subalgebras of \(C^ *\)-algebras
• Algebraic probability spaces
• Lévy Processes and Stochastic Calculus
• Dilation of a Dissipative Quantum Dynamical System to a Quantum Markov Process
• Cohomology of Operator Algebras and Quantum Dynamical Semigroups
• CONDITIONALLY COMPLETELY POSITIVE MAPS ON OPERATOR ALGEBRAS
• A Brief History of the GKLS Equation
• Unbounded Generators of Dynamical Semigroups
• Positive Linear Maps on C^*-Algebras
• Inner Product Modules Over B ∗ -Algebras
• Positive Functions on C ∗ -Algebras
• Quantum stochastic processes
• Theory of operator algebras I.

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