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Abstract: In this paper we define homological stabilizer codes which encompass codes such as Kitaev's toric code and the topological color codes. These codes are defined solely by the graphs they resi...
Framework for classifying logical operators in stabilizer codes
logical operators stabilizer codes
2010/3/10
Entanglement, as studied in quantum information science, and non-local quantum correlations, as studied in condensed matter physics, are fundamentally akin to each other. However, their relationship i...
Optimal quantum stabilizer codes of distance 3 are explicitly constructed for all lengths except for the following four families of lengths $8f_m-\{1,2\}$ and $f_{m+2}-\{2,3\}$ with $f_m=\frac{4^m-1}3...