Efficient Decoding of Topological Color Codes

Details Efficient Decoding of Topological Color Codes Efficient Decoding of Topological Color Codes

2011-11-03

arxiv.org/abs/1111.0831v1

Phys. Rev. A 85, 022317 (2012)

Physics

Quantum Physics

7 pages, LaTeX

Scientific paper

10.1103/PhysRevA.85.022317

Color codes are a class of topological quantum codes with a high error threshold and large set of transversal encoded gates, and are thus suitable for fault tolerant quantum computation in two-dimensional architectures. Recently, computationally efficient decoders for the color codes were proposed. We describe an alternate efficient iterative decoder for topological color codes, and apply it to the color code on hexagonal lattice embedded on a torus. In numerical simulations, we find an error threshold of 7.8% for independent dephasing and spin flip errors.

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