Guaranteed Cost LQG Control of Uncertain Linear Quantum Stochastic Systems
arXiv:0807.46193 citationsh-index: 68
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Provides a theoretical framework for robust control of quantum systems with uncertainties, relevant to quantum engineering.
The paper addresses guaranteed cost LQG control for uncertain linear quantum stochastic systems by linking them to classical systems, and demonstrates the approach on a quantum optics example.
In this paper, we formulate and solve a guaranteed cost control problem for a class of uncertain linear stochastic quantum systems. For these quantum systems, a connection with an associated classical (non-quantum) system is first established. Using this connection, the desired guaranteed cost results are established. The theory presented is illustrated using an example from quantum optics.