Probability operator and convolution semigroups of instruments in quantum probability

DOI10.1007/BF00340008zbMath0666.60106MaRDI QIDQ1116563

Alberto Barchielli

Publication date: 1989

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

zbMATH Keywords

infinitesimal generatorquantum dynamical semigroupquantum measurement theoryprobability operatorsemigroup of probability operators

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Markov semigroups and applications to diffusion processes (47D07) Free probability and free operator algebras (46L54) Noncommutative dynamical systems (46L55) Groups and semigroups of linear operators (47D03) Applications of selfadjoint operator algebras to physics (46L60) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Vector-valued measures and integration (46G10) Transition functions, generators and resolvents (60J35) Stochastic mechanics (including stochastic electrodynamics) (81P20)

Related Items (6)

On the quantum theory of measurements continuous in time ⋮ On conservativity of covariant dynamical semigroups ⋮ A quantum analogue of Hunt's representation theorem for the generator of convolution semigroups on Lie groups ⋮ A note on a formula of the Lévy-Khinchin type in quantum probability ⋮ Covariant CP-instruments and their convolution semigroups ⋮ An analogue of Hunt's representation theorem in quantum probability

Cites Work

• On the generators of quantum dynamical semigroups
• Quantum stochastic calculus, operation valued stochastic processes, and continual measurements in quantum mechanics
• Infinitely Divisible Measurements in Quantum Probability Theory
• Cohomology of Operator Algebras and Quantum Dynamical Semigroups
• Completely positive dynamical semigroups of N-level systems
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