Braid Topologies for Quantum Computation

Preprint

26 September 2005

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.quant-ph/0505065

Abstract

In topological quantum computation, quantum information is stored in states which are intrinsically protected from decoherence, and quantum gates are carried out by dragging particle-like excitations (quasiparticles) around one another in two space dimensions. The resulting quasiparticle trajectories define world-lines in three dimensional space-time, and the corresponding quantum gates depend only on the topology of the braids formed by these world-lines. We show how to find braids that yield a universal set of quantum gates for qubits encoded using a specific kind of quasiparticle which is particularly promising for experimental realization.

Keywords

INTRINSICALLY PROTECTED
TOPOLOGICAL QUANTUM
QUANTUM COMPUTATION
BRAID TOPOLOGIES
QUANTUM GATES
QUASIPARTICLE
WORLD LINES
TOPOLOGIES
BRAIDS

All Related Versions

Version 1, 2005-05-10, ArXiv
Version 2, 2005-05-12, ArXiv
Version 3, 2005-09-26, ArXiv
Published version: Physical Review Letters, 95 (14), 140503.

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