James, M. R.Petersen, I. R.2026-07-032026-07-03142440171297814244017100743-1546ORCID:/0000-0003-4856-9450/work/219177593https://hdl.handle.net/1885/733812598The 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.6enQuantum feedback controlQuantum optics controlStrict bounded real lemma200639649108635