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.
| Original language | English |
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| Article number | 042304 |
| Journal | Physical Review A |
| Volume | 79 |
| Issue number | 4 |
| DOIs | |
| State | Published - 1 Apr 2009 |