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Phys Rev Lett. 2009 Jul 10;103(2):020506. doi: 10.1103/PhysRevLett.103.020506. Epub 2009 Jul 10.

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

Physical review letters

Andrew C Doherty, Stephen D Bartlett

Affiliations

  1. School of Physical Sciences, The University of Queensland, St Lucia, Queensland 4072, Australia.

PMID: 19659193 DOI: 10.1103/PhysRevLett.103.020506

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.

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