Time-Optimal Generation of Cluster States

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Fisher, Robert
Yuan, Haidong
Spoerl, Andreas
Glaser, Steffen
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Abstract
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The definition of a cluster state naturally suggests an implementation scheme: find a physical system with an Ising coupling topology identical to that of the target state, and evolve freely for a time of 1/2J. Using the tools of optimal control theory, we address the question of whether or not this implementation is time-optimal. We present some examples where it is not and provide an explanation in terms of geodesics on the Bloch-sphere.
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Quantum Physics
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