Perfect Cluster States from Imperfect Global Entanglement

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The cluster state, the highly entangled state that is the central resource for one-way quantum computing, can be efficiently generated in a variety of physical implementations via global nearest-neighbor interactions. In practice, a systematic phase error is expected in the entangling process, resulting in imperfect cluster states. We present a stochastic measurement technique to generate large perfect cluster states and other graph states with high probability from imperfect cluster states even when their initial entanglement is weak.
16 pages IOP style, 4 EPS figures; major revisions to the strategy for growth of cluster states, 2 new figures, several new references; accepted for publication in NJP

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