Quantum feedback control and classical control theory

Abstract

We introduce and discuss the problem of quantum feedback control in the context of established formulations of classical control theory, examining conceptual analogies and essential differences. We describe the application of state-observer based control laws, familiar in classical control theory, to quantum systems and apply our methods to the particular case of switching the state of a particle in a double-well potential.

14 pages, multicol revtex, 2 eps figures

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• Direct and Indirect Couplings in Coherent Feedback Control of Linear Quantum Systems
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• Time evolution and squeezing of the field amplitude in cavity QED
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• Dynamical programming of continuously observed quantum systems
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• Global versus local optimality in feedback-controlled qubit purification: new insights from minimizing Rényi entropies
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• State Space Decomposition of Quantum Dynamical Semigroups
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• Time-Optimal Frictionless Atom Cooling in Harmonic Traps
• Mixed LQG and $H_{\infty }$ Coherent Feedback Control for Linear Quantum Systems
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• Measurement-based cooling of many-body quantum systems