THE STABILITY OF QUANTUM MARKOV FILTERS

DOI10.1142/S0219025709003549zbMath1179.46052arXiv0709.2216OpenAlexW2964036780MaRDI QIDQ3636006

Ramon van Handel

Publication date: 30 June 2009

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.2216

zbMATH Keywords

observabilityasymptotic stabilityquantum filteringquantum Markov processesnondemolition observations

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) Observability (93B07) Stochastic stability in control theory (93E15) Quantum optics (81V80) Noncommutative probability and statistics (46L53) Quantum stochastic calculus (81S25) Quantum measurement theory, state operations, state preparations (81P15)

Related Items (7)

Some properties of quantum fidelity in infinite-dimensional quantum systems ⋮ The singularity of positive linear functionals ⋮ Large time behavior and convergence rate for quantum filters under standard non demolition conditions ⋮ Robust Feedback Stabilization of N-Level Quantum Spin Systems ⋮ Absolute continuity of positive linear functionals ⋮ Stability of continuous-time quantum filters with measurement imperfections ⋮ On asymptotic stability of quantum trajectories and their Cesaro mean

Cites Work

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• Absolute continuity for linear forms on \(B^*\)-algebras and a Radon- Nikodým type theorem (quadratic version)
• Quantum stochastic calculus and quantum nonlinear filtering
• A generalised entropy function
• A Radon-Nikodym theorem for *-algebras
• Model robustness of finite state nonlinear filtering over the infinite time horizon
• An Introduction to Quantum Filtering
• Robustness of Nonlinear Filters Over the Infinite Time Interval
• Continual Measurements in Quantum Mechanics and Quantum Stochastic Calculus
• Quantum stochastic processes
• Theory of operator algebras I.

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