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American Physical Society, Physical Review A, 6(80), 2009

DOI: 10.1103/physreva.80.062328

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Transitions in the computational power of thermal states for measurement-based quantum computation

Journal article published in 2008 by Sean D. Barrett, Stephen D. Bartlett ORCID, Andrew C. Doherty, David Jennings, Terry Rudolph
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This paper is available in a repository.

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Abstract

We show that the usefulness of the thermal state of a specific spin-lattice model for measurement-based quantum computing exhibits a transition between two distinct "phases" - one in which every state is a universal resource for quantum computation, and another in which any local measurement sequence can be simulated efficiently on a classical computer. Remarkably, this transition in computational power does not coincide with any phase transition, classical or quantum, in the underlying spin-lattice model. Comment: 9 pages, 2 figures, v4 published version