Control of Quantum Systems Despite Feedback Delay

Details Control of Quantum Systems Despite Feedback Delay Control of Quantum Systems Despite Feedback Delay

2007-09-10

arxiv.org/abs/0709.1339v2

IEEE Trans. Automat. Contr. 54-4, 876/881 (2009)

Physics

Quantum Physics

12 pages, 2 figures

Scientific paper

Feedback control (based on the quantum continuous measurement) of quantum systems inevitably suffers from estimation delays. In this paper we give a delay-dependent stability criterion for a wide class of nonlinear stochastic systems including quantum spin systems. We utilize a semi-algebraic problem approach to incorporate the structure of density matrices. To show the effectiveness of the result, we derive a globally stabilizing control law for a quantum spin-1/2 systems in the face of feedback delays.

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