QUANT-PHJul 29, 2008
Guaranteed Cost LQG Control of Uncertain Linear Quantum Stochastic SystemsA. J. Shaiju, I. R. Petersen, M. R. James
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.