ref - poulin

Author: valbert4

codes/quantum/properties/hamiltonian/self_correct.yml

@@ -56,7 +56,7 @@ relations:
       detail: 'A self-correcting quantum memory does not require symmetry for self correction.'
   cousins:
     - code_id: surface
-      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,arxiv:1406.2338,arxiv:1511.05579,arxiv:1512.04528}.'
+      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:{Poulin, D. (2011, September 14). Decoding problem for topological quantum codes [Conference talk]. Simons Center for Geometry and Physics, Stony Brook University. Retrieved from http://scgp.stonybrook.edu/archives/1087},arxiv:1406.2338,arxiv:1511.05579,arxiv:1512.04528,arxiv:2510.08056}.'
     - code_id: 2d_stabilizer
       detail: '2D stabilizer codes \cite{arxiv:0810.1983} and encodings of frustration-free code Hamiltonians \cite{arxiv:1209.5750} admit only constant-energy excitations, and so do not have an energy barrier.'
     - code_id: quantum_double