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arXiv · 1012.1397

Discrete-Time Controllability for Feedback Quantum Dynamics

Francesca Albertini·Francesco Ticozzi
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Abstract

Controllability properties for discrete-time, Markovian quantum dynamics are investigated. We find that, while in general the controlled system is not finite-time controllable, feedback control allows for arbitrary asymptotic state-to-state transitions. Under further assumption on the form of the measurement, we show that finite-time controllability can be achieved in a time that scales linearly with the dimension of the system, and we provide an iterative procedure to design the unitary control actions.

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Francesca Albertini, Francesco Ticozzi. 2010-12-07. Discrete-Time Controllability for Feedback Quantum Dynamics. https://doi.org/10.1016/j.automatica.2011.08.018

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