Discrete-Time Controllability for Feedback Quantum Dynamics

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.

References in corpus (3)

• Controllability of open quantum systems with Kraus-map dynamics
• Locally Optimal Control of Quantum Systems with Strong Feedback
• Engineering Stable Discrete-Time Quantum Dynamics via a Canonical QR Decomposition

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• Alternating Projections Methods for Discrete-time Stabilization of Quantum States