H∞ Control of Linear Quantum Systems

M. R. James, Ian R. Petersen · 2006

The purpose of this paper is to formulate and solve a H∞controller synthesis problem for a class of noncommutative linear stochastic systems which includes many examples of interest in quantum technology. A quantum version of the strict bounded real lemma is presented and from this, a quantum version of the two Riccati solution to the H∞control problem is derived

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