Time-Optimal Generation of Cluster States
Quantum Physics
2009-11-13 v2
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.
Cite
@article{arxiv.0903.4066,
title = {Time-Optimal Generation of Cluster States},
author = {Robert Fisher and Haidong Yuan and Andreas Spoerl and Steffen Glaser},
journal= {arXiv preprint arXiv:0903.4066},
year = {2009}
}
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