James, MatthewNurdin, HendraPetersen, Ian2015-12-070018-9286http://hdl.handle.net/1885/27529The 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. The paper includes results on the class of suchKeywords: Mathematical operators; Optimal control systems; Quantum electronics; Quantum optics; Quantum theory; Robust control; Stochastic control systems; Stochastic programming; Bounded real lemmas; Commutation relations; Control problems; Controller syntheses; D Dissipativity; H8 robust control; Quantum controller realization; Quantum feedback control; Quantum optics; Strict bounded real lemma200810.1109/TAC.2008.9293782015-12-07