Color codes support 1 #361
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…ed by hand d=3,5,7,9, and 11
…e of the stabilizers for this code. A more complete commit will be coming in a few days
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This PR implements two infinite families of triangular planar color codes out of the three possible on triangular color codes, using https://arxiv.org/abs/1108.5738 as a main reference. I implemented the 4.8.8 and 6.6.6 tilings, for any odd distance the user may provide. A third possible tiling exists, however, to my knowledge, no relevant work has used the 4.6.12 tiling (perhaps weight 12 stabilizer checks seem a bit too difficult on a topological code?). Despite this, I'd be happy to add that functionality as well, if asked. I simply thought it would probably be a better use of time and resources to focus on other functionality before that code. Here is the error correction zoo page for the 4.6.12 code, and notice that according to its references, there hasn't been much mention of it in almost 15 years: https://errorcorrectionzoo.org/c/4612_color
Notably this PR addresses Step 1 and Step 2 of issue Color codes [$200], assuming that these two tilings of triangular color codes are sufficiently many. If not, I'd happily do some more reading and add more!