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American Physical Society, Physical Review Letters, 2(103), 2009

DOI: 10.1103/physrevlett.103.020506

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Identifying phases of quantum many-body systems that are universal for quantum computation

Journal article published in 2008 by Andrew C. Doherty, Stephen D. Bartlett ORCID
This paper is available in a repository.
This paper is available in a repository.

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Abstract

Quantum computation can proceed solely through single-qubit measurements on an appropriate quantum state, such as the ground state of an interacting many-body system. We investigate a simple spin-lattice system based on the cluster-state model, and by using nonlocal correlation functions that quantify the fidelity of quantum gates performed between distant qubits, we demonstrate that it possesses a quantum (zero-temperature) phase transition between a disordered phase and an ordered "cluster phase" in which it is possible to perform a universal set of quantum gates. ; Comment: 5 pages, 2 figures, comments welcome; v2 has had many technical detailed removed, and gives a simplified presentation; v3 published version