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"Two-dimensional color-code quantum computation", Austin Fowler, 2011

Reviewed January 14, 2024

Citation: Fowler, Austin G. "Two-dimensional color-code quantum computation." Physical Review A 83.4 (2011): 042310.

Web: https://arxiv.org/abs/0806.4827

Tags: Color-code, Universal-scheme, Error-correcting-codes, Defects/boundaries


This paper is part of a long chain of articles in the literature which focused on finding simpler ways to implement Clifford gates on a (2+1)-dimensional nearest neighbor topological code.

This scheme was based on twist defects in the color code. As time has gone on, the highly symmetric nature of the color code and the associated defects have become well-appreciated in the topological quantum computing community:

> Kesselring, Markus S., et al. "The boundaries and twist defects of the color code and their applications to topological quantum computation." Quantum 2 (2018): 101.

This paper gives a great early indication to the power and flexibility that this symmetry offers.