From quantum stochastic differential equations to Gisin-Percival state diffusion

DOI10.1063/1.4998714zbMath1370.81099arXiv1705.00520OpenAlexW2611793150MaRDI QIDQ5357552

A. R. Usha Devi, K. R. Parthasarathy

Publication date: 11 September 2017

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

Full work available at URL: https://arxiv.org/abs/1705.00520

Mathematics Subject Classification ID

Brownian motion (60J65) Operator spaces and completely bounded maps (46L07) NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum stochastic calculus (81S25) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Open systems, reduced dynamics, master equations, decoherence (81S22) Bergman spaces and Fock spaces (30H20)

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Poisson stochastic master equation unravelings and the measurement problem: A quantum stochastic calculus perspective, The Gisin-Percival stochastic Schrödinger equation from standard quantum filtering theory, On the small mass limit of quantum Brownian motion with inhomogeneous damping and diffusion

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