Stochastic calculus of quantum input-output processes and quantum nondemolition filtering

DOI10.1007/BF01095974zbMath0731.60040MaRDI QIDQ808096

Vyacheslav P. Belavkin

Publication date: 1991

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

quantum stochastic calculusstochastic Schrödinger equationmeasurements in quantum open systemsnoncommutative stochastic calculus

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Stochastic systems in control theory (general) (93E03) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Quantum stochastic calculus (81S25) Stochastic analysis (60H99)

Related Items

Representation and network synthesis for a class of mixed quantum-classical linear stochastic systems, A quantum nonadapted Ito formula and stochastic analysis in Fock scale

Cites Work

• Quantum Ito's formula and stochastic evolutions
• An operational approach to quantum probability
• Conditional expectations in von Neumann algebras
• Operator stochastic differential equations and stochastic semigroups
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