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

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

2008-02-29

arxiv.org/abs/0802.4314v3

Phys. Rev. Lett. 103, 020506 (2009)

Physics

Quantum Physics

5 pages, 2 figures, comments welcome; v2 has had many technical detailed removed, and gives a simplified presentation; v3 publ

Scientific paper

10.1103/PhysRevLett.103.020506

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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