On a canonical QR decomposition and feedback control of discrete-time quantum dynamics
Francesco Ticozzi, Saverio Bolognani · 2010
We study feedback-controlled, discrete-time quan- tum Markovian dynamics focusing on pure-state stabilization problem. Assuming that the system is unitarily controllable, and accessible via a given quantum measurement, we explic- itly construct a choice of control actions conditioned on the measurement outcome that globally stabilizes the target state for the averaged dynamics. A key step in deriving this result is the definition of a canonical QR decomposition for complex matrices. I. INTRODUCTION