Phase transition of computational power in the resource states for one-way quantum computation

Daniel E. Browne, Matthew B. Elliott, Steven T. Flammia, Seth T. Merkel, Akimasa Miyake, Anthony J. Short

Research output: Contribution to journalArticle (Academic Journal)peer-review

37 Citations (Scopus)


We study how heralded qubit losses during the preparation of a two-dimensional cluster state, a universal resource state for one-way quantum computation, affect its computational power. Above the percolation threshold, we present a polynomial-time algorithm that concentrates a universal cluster state, using resources that scale optimally in the size of the original lattice. On the other hand, below the percolation threshold, we show that single qubit measurements on the faulty lattice can be efficiently simulated classically. We observe a phase transition at the threshold when the amount of entanglement in the faulty lattice directly relevant to the computational power changes exponentially.

Original languageEnglish
Article number023010
Pages (from-to)2-21
Number of pages20
JournalNew Journal of Physics
Publication statusPublished - 12 Feb 2008

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