Topological Quantum Compiling

Details Topological Quantum Compiling Topological Quantum Compiling

2006-10-13

arxiv.org/abs/quant-ph/0610111v2

Phys. Rev. B 75, 165310 (2007)

Physics

Quantum Physics

20 pages, 20 figures, published version

Scientific paper

10.1103/PhysRevB.75.165310

A method for compiling quantum algorithms into specific braiding patterns for non-Abelian quasiparticles described by the so-called Fibonacci anyon model is developed. The method is based on the observation that a universal set of quantum gates acting on qubits encoded using triplets of these quasiparticles can be built entirely out of three-stranded braids (three-braids). These three-braids can then be efficiently compiled and improved to any required accuracy using the Solovay-Kitaev algorithm.

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