APPROXIMATE STABILIZATION OF AN INFINITE DIMENSIONAL QUANTUM STOCHASTIC SYSTEM

DOI10.1142/S0129055X13500013zbMath1268.37090arXiv1103.1724OpenAlexW2114626490MaRDI QIDQ4917970

Mazyar Mirrahimi, Ram A. Somaraju, Pierre Rouchon

Publication date: 3 May 2013

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

Full work available at URL: https://arxiv.org/abs/1103.1724

zbMATH Keywords

stochastic stabilizationquantum feedback controlinfinite-dimensional stochastic systems

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Stochastic stability in control theory (93E15) Quantum optics (81V80) Infinite-dimensional random dynamical systems; stochastic equations (37L55) Quantum control (81Q93)

Related Items (2)

Feedback stabilization of discrete-time quantum systems subject to non-demolition measurements with imperfections and delays ⋮ Stability analysis of quantum systems: a Lyapunov criterion and an invariance principle

Cites Work

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• Lyapunov control of a quantum particle in a decaying potential
• Growth of Sobolev norms and controllability of the Schrödinger equation
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• Practical Stabilization of a Quantum Particle in a One-Dimensional Infinite Square Potential Well
• Stabilization of a rotating body beam without damping
• Exploring the Quantum
• A Strict Lyapunov Function for Boundary Control of Hyperbolic Systems of Conservation Laws
• Stabilization of a Delayed Quantum System: The Photon Box Case-Study

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