Global feedback stabilization of quantum noiseless subsystems
ACC'09 Proceedings of the 2009 conference on American Control Conference
Sliding mode control of two-level quantum systems
Automatica (Journal of IFAC)
Non-smooth Lyapunov function-based global stabilization for quantum filters
Automatica (Journal of IFAC)
Quantum Measurement-Based Feedback Control: A Nonsmooth Time Delay Control Approach
SIAM Journal on Control and Optimization
Switching control of closed quantum systems via the Lyapunov method
Automatica (Journal of IFAC)
Analysis of quantum linear systems' response to multi-photon states
Automatica (Journal of IFAC)
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No quantum measurement can give full information on the state of a quantum system; hence any quantum feedback control problem is necessarily one with partial observations and can generally be converted into a completely observed control problem for an appropriate quantum filter as in classical stochastic control theory. Here we study the properties of controlled quantum filtering equations as classical stochastic differential equations. We then develop methods, using a combination of geometric control and classical probabilistic techniques, for global feedback stabilization of a class of quantum filters around a particular eigenstate of the measurement operator.