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arXiv:1012.1397 · Automatica

Discrete-time controllability for feedback quantum dynamics

Francesca Albertini, Francesco Ticozzi

Published Sep 7, 2011• 8 citations
arXivHTMLPDF
DOI
10.1016/j.automatica.2011.08.018

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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