Topological Computation without Braiding

H. Bombin and M. A. Martin-Delgado
Phys. Rev. Lett. 98, 160502 – Published 19 April 2007

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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  • Received 13 September 2006

DOI:https://doi.org/10.1103/PhysRevLett.98.160502

©2007 American Physical Society

Authors & Affiliations

H. Bombin and M. A. Martin-Delgado

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

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Issue

Vol. 98, Iss. 16 — 20 April 2007

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