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Topological Computation without Braiding

H. Bombin·M. A. Martin-Delgado
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Abstract

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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H. Bombin, M. A. Martin-Delgado. 2007-03-29. Topological Computation without Braiding. https://doi.org/10.1103/physrevlett.98.160502

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