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arXiv · 0903.4066

Time-Optimal Generation of Cluster States

Robert Fisher·Haidong Yuan·Andreas Spoerl·Steffen Glaser
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Abstract

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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Robert Fisher, Haidong Yuan, Andreas Spoerl, Steffen Glaser. 2009-04-06. Time-Optimal Generation of Cluster States. https://doi.org/10.1103/physreva.79.042304

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