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.
Proceedings of the Sixteenth 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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