Discrete-time controllability for feedback quantum dynamics |
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Authors: | Francesca Albertini Francesco Ticozzi[Author vitae] |
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Affiliation: | aDipartimento di Matematica Pura ed Applicata, Università di Padova, via Trieste 63, 35131 Padova, Italy;bDipartimento di Ingegneria dell’Informazione, Università di Padova, via Gradenigo 6/B, 35131 Padova, Italy |
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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 assumptions on the form of the measurement, we show that finite-time controllability can be achieved in a time that is twice the dimension of the system, and we provide an iterative procedure to design the unitary control actions. |
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Keywords: | Quantum control Discrete-time system Controllability Output feedback |
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