Quantum stochastic calculus, operation valued stochastic processes, and continual measurements in quantum mechanics

DOI10.1063/1.526851zbMath0574.60060OpenAlexW2073172283MaRDI QIDQ3694365

G. Lupieri, Alberto Barchielli

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1063/1.526851

zbMATH Keywords

quantum stochastic calculuscontinual observation on a quantum systemoperation valued stochastic processstochastic dilatation

Mathematics Subject Classification ID

Stochastic processes (60G99) Foundations, quantum information and its processing, quantum axioms, and philosophy (81P99) Stochastic mechanics (including stochastic electrodynamics) (81P20)

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Cites Work

• Stochastic dilations of uniformly continuous completely positive semigroups
• Quantum Ito's formula and stochastic evolutions
• Non-Markovian quantum stochastic processes and their entropy
• Time-orthogonal unitary dilations and noncommutative Feynman-Kac formulae
• Quantum stochastic processes. II
• Quantum stochastic processes. III
• Generalized stochastic processes and continual observations in quantum mechanics
• On the quantum Feynman-Kac formula
• Quantum communication systems (Corresp.)
• Quantum counting processes
• Quantum stochastic processes
• Quantum stochastic processes

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