We study feedback-controlled, discrete-time quantum 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.

On a Canonical QR Decomposition and Feedback Control of Discrete-Time Quantum Dynamics.

BOLOGNANI, SAVERIO;TICOZZI, FRANCESCO
2010

Abstract

We study feedback-controlled, discrete-time quantum 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.
2010
Proceedings of the Sixteenth International Symposium on Mathematical Theory of Network and Systems
16th International Symposium on Mathematical Theory of Network and Systems
9789633113707
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/2420628
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