2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/156499The 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 NJPQuantum PhysicsOther Condensed Mattertext