The role of the atomic decoherence-free subalgebra in the study of quantum Markov semigroups

DOI10.1063/1.5030954zbMath1416.81096OpenAlexW2963707917WikidataQ127493055 ScholiaQ127493055MaRDI QIDQ5228070

Veronica Umanità, Franco Fagnola, Emanuela Sasso

Publication date: 8 August 2019

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

Full work available at URL: http://hdl.handle.net/11311/1105088

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Operator spaces and completely bounded maps (46L07) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57) Open systems, reduced dynamics, master equations, decoherence (81S22)

Related Items (5)

The decoherence-free subalgebra of Gaussian quantum Markov semigroups ⋮ The general structure of the decoherence-free subalgebra for uniformly continuous quantum Markov semigroups ⋮ On the Generators of Quantum Dynamical Semigroups with Invariant Subalgebras ⋮ Absorption in invariant domains for semigroups of quantum channels ⋮ Absorption and fixed points for semigroups of quantum channels

Cites Work

• Unnamed Item
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• Decomposition of operator semigroups on W\(^{\ast}\)-algebras
• Quantum dynamical semigroups and decoherence
• On the projection of norm one in \(W^*\)-algebras. III
• Long-time asymptotic properties of dynamical semigroups on W*-algebras
• On the generators of quantum dynamical semigroups
• Irreducible quantum dynamical semigroups
• Frobenius theory for positive maps of von Neumann algebras
• Stationary states of quantum dynamical semigroups
• Classical properties of infinite quantum open systems
• Decoherence for quantum Markov semi-groups on matrix algebras
• Conditional expectations in von Neumann algebras
• Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
• Structure of uniformly continuous quantum Markov semigroups
• THE STRUCTURES OF STATE SPACE CONCERNING QUANTUM DYNAMICAL SEMIGROUPS
• Decoherence free subspaces of a quantum Markov semigroup
• THE DECOHERENCE-FREE SUBALGEBRA OF A QUANTUM MARKOV SEMIGROUP WITH UNBOUNDED GENERATOR
• Environment induced decoherence for Markovian evolutions
• GENERIC q-MARKOV SEMIGROUPS AND SPEED OF CONVERGENCE OF q-ALGORITHMS
• Cohomology of Operator Algebras and Quantum Dynamical Semigroups
• One-Parameter Semigroups for Linear Evolution Equations
• Quantum Markovian Subsystems: Invariance, Attractivity, and Control
• Completely positive dynamical semigroups of N-level systems
• Structure of generic quantum Markov semigroup
• DECOHERENCE INDUCED TRANSITION FROM QUANTUM TO CLASSICAL DYNAMICS
• On the asymptotic behavior of generic quantum Markov semigroups
• Theory of operator algebras I.

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