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Phys Rev Lett. 2007 Apr 20;98(16):160502. Epub 2007 Apr 19.

Topological computation without braiding.

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Departamento de Física Teórica I, Universidad Complutense, 28040 Madrid, Spain.


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.

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