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Phys. Rev. Lett. 98, 160502 (2007) [4 pages]

Topological Computation without Braiding

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H. Bombin and M. A. Martin-Delgado
Departamento de Física Teórica I, Universidad Complutense, 28040 Madrid, Spain

Received 13 September 2006; published 19 April 2007

We show that universal quantum computation can be performed within the ground state of a topologically ordered quantum system, which is a naturally protected quantum memory. In particular, we show how this can be achieved using brane-net condensates in 3-colexes. The universal set of gates is implemented without selective addressing of physical qubits and, being fully topologically protected, it does not rely on quasiparticle excitations or their braiding.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.98.160502
DOI:
10.1103/PhysRevLett.98.160502
PACS:
03.67.Lx, 02.40.−k