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

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

2008-07-30

arxiv.org/abs/0807.4797v4

Phys. Rev. A 80, 062328 (2009)

Physics

Quantum Physics

9 pages, 2 figures, v4 published version

Scientific paper

10.1103/PhysRevA.80.062328

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.

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