Classification and decomposition of quantum Markov semigroups

DOI10.1007/s00440-005-0450-7zbMath1130.46039OpenAlexW1975367374MaRDI QIDQ818816

Veronica Umanità

Publication date: 21 March 2006

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00440-005-0450-7

zbMATH Keywords

quantum dynamical semigroupsrecurrence and transiencequantum Markov processes

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Probabilistic potential theory (60J45) Noncommutative probability and statistics (46L53) Quantum stochastic calculus (81S25)

Related Items

Decomposition and Classification of Generic Quantum Markov Semigroups: The Gaussian Gauge Invariant Case ⋮ On a generalized central limit theorem and large deviations for homogeneous open quantum walks ⋮ Mathematical models of Markovian dephasing ⋮ Irreducible decompositions and stationary states of quantum channels ⋮ Quantum dynamical semigroups and stability ⋮ Potential theory for quantum Markov states and other quantum Markov chains ⋮ Mixture of gaussians in the open quantum random walks ⋮ Van Hove limit for infinite systems ⋮ Basic properties of nonlinear stochastic Schrödinger equations driven by Brownian motions ⋮ ALGEBRAIC CONDITIONS FOR CONVERGENCE OF A QUANTUM MARKOV SEMIGROUP TO A STEADY STATE ⋮ Decomposition of quantum Markov chains and its applications ⋮ A Survey on Invariance and Ergodicity of Quantum Markov Semigroups ⋮ Strassen's theorem for quantum couplings ⋮ THE DECOHERENCE-FREE SUBALGEBRA OF A QUANTUM MARKOV SEMIGROUP WITH UNBOUNDED GENERATOR ⋮ Open quantum random walks: reducibility, period, ergodic properties ⋮ Structure and block representation for circulant quantum processes ⋮ Absorption in invariant domains for semigroups of quantum channels ⋮ The induced semigroup of Schwarz maps to the space of Hilbert-Schmidt operators ⋮ Recurrence and Transience of Quantum Markov Semigroups ⋮ Absorption and fixed points for semigroups of quantum channels

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Quantum probability for probabilists
• Quantum dynamical semigroups and approach to equilibrium
• Stationary states of quantum dynamical semigroups
• Transience and recurrence of quantum Markov semigroups
• Algebraic probability spaces
• Subharmonic projections for a quantum Markov semigroup
• [https://portal.mardi4nfdi.de/wiki/Publication:5571425 Propri�t�s relatives des processus de Markov r�currents]
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item