Optimal feedback control for the rapid preparation of a single qubit

Physics – Quantum Physics

Scientific paper

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8 pages, revtex4, 3 eps figures

Scientific paper

10.1117/12.547012

We consider the use of feedback control during a measurement to increase the rate at which a single qubit is purified, and more generally the rate at which near-pure states may be prepared. We derive the optimal bang-bang algorithm for rapid state preparation from an initially completely mixed state when the measurement basis is unrestricted, and evaluate its performance numerically. We also consider briefly the case in which the measurement basis is fixed with respect to the state to be prepared, and describe the qualitative structure of the optimal bang-bang algorithm.

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