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A decoder for the triangular color code by matching on a Möbius strip
[article]
2021
arXiv
pre-print
The color code is remarkable for its ability to perform fault-tolerant logic gates. This motivates the design of practical decoders that minimise the resource cost of color-code quantum computation. Here we propose a decoder for the planar color code with a triangular boundary where we match syndrome defects on a nontrivial manifold that has the topology of a Möbius strip. A basic implementation of our decoder used on the color code with hexagonal lattice geometry demonstrates a logical failure
arXiv:2108.11395v2
fatcat:fo7snzogpnan3ktriitbj7yp3q