Quantum Stochastic Differential Equations and Dilation of Completely Positive Semigroups

DOI10.1007/3-540-33966-3_5zbMath1133.81041OpenAlexW35456100MaRDI QIDQ5295752

Franco Fagnola

Publication date: 31 July 2007

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/3-540-33966-3_5

zbMATH Keywords

quantum stochastic calculusquantum Markov semigroupquantum probabilitycocycle propertyQuantum stochastic differential equation

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) White noise theory (60H40) Noncommutative probability and statistics (46L53) Quantum stochastic calculus (81S25)

Related Items (6)

Quantum stochastic differential equations and continuous measurements: unbounded coefficients ⋮ Dilations of commuting \(C_0\)-semigroups with bounded generators and the von Neumann polynomial inequality ⋮ Quantum stochastic dynamics in multi-photon optics ⋮ THE DECOHERENCE-FREE SUBALGEBRA OF A QUANTUM MARKOV SEMIGROUP WITH UNBOUNDED GENERATOR ⋮ Markovian properties of the spin-boson model ⋮ Repeated interactions in open quantum systems

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