- detail: 'The surface code is not thermally stable \cite{arxiv:quant-ph/0702102,arxiv:0709.2717,arxiv:0810.4584,arxiv:0911.3843,arxiv:2410.01206} because its string-like logical operators anti-commute with stabilizer generators supported only at their ends, and thus have a constant energy cost of creation. Various candidates for self-correcting quantum memories have been constructed by coupling neighboring anyons in the code so as to prevent them from spreading \cite{arxiv:0812.4622,arxiv:0908.4264,arxiv:1101.6028,manual:{D. Poulin, “Decoding problem for topological quantum codes” [Conference talk], Simons Center for Geometry and Physics, Stony Brook University, 2011 \href{http://scgp.stonybrook.edu/archives/1087}{URL}},arxiv:1406.2338,arxiv:1511.05579,arxiv:1512.04528,arxiv:2510.08056}.'
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