An analogue of Hunt's representation theorem in quantum probability

DOI10.1007/BF01047573zbMath0770.60003OpenAlexW1989164173MaRDI QIDQ1210339

G. Lupieri, Alexandr S. Holevo, Alberto Barchielli

Publication date: 13 September 1993

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01047573

zbMATH Keywords

von Neumann algebraquantum mechanicsconvolution semigroupscharacterization of generatorsHunt's representation theoremnorm continuous quantum dynamical semigroups

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Quantum stochastic calculus (81S25) Foundations, quantum information and its processing, quantum axioms, and philosophy (81P99) Foundations of probability theory (60A99) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (6)

Constructing quantum measurement processes via classical stochastic calculus ⋮ Markovian master equations for quantum-classical hybrid systems ⋮ A note on a formula of the Lévy-Khinchin type in quantum probability ⋮ On stochastic differential equations and semigroups of probability operators in quantum probability ⋮ Covariant CP-instruments and their convolution semigroups ⋮ On the Asymptotic Behaviour of Some Stochastic Differential Equations for Quantum States

Cites Work

• Probability operator and convolution semigroups of instruments in quantum probability
• On the generators of quantum dynamical semigroups
• A quantum analogue of Hunt's representation theorem for the generator of convolution semigroups on Lie groups
• Semi-Groups of Measures on Lie Groups
• Cohomology of Operator Algebras and Quantum Dynamical Semigroups
• On the limits of sequences of normal states
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