Phys. Rev. Lett. 103, 020506 (2009) [4 pages]Identifying Phases of Quantum Many-Body Systems That Are Universal for Quantum ComputationReceived 30 March 2008; published 10 July 2009 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. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.103.020506
DOI:
10.1103/PhysRevLett.103.020506
PACS:
03.67.Lx, 73.43.Nq
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