Optimal resources for topological two-dimensional stabilizer codes : Comparative study

@article{Bombin2007OptimalRF,
  title={Optimal resources for topological two-dimensional stabilizer codes : Comparative study},
  author={H. Bombin and Miguel Angel Martin-Delgado},
  journal={Physical Review A},
  year={2007},
  volume={76},
  pages={012305}
}
We study the resources needed to construct topological two-dimensional stabilizer codes as a way to estimate in part their efficiency, and this leads us to perform a comparative study of surface codes and color codes. This study clarifies the similarities and differences between these two types of stabilizer code. We compute the topological error-correcting rate C:=n/d{sup 2} for surface codes C{sub s} and color codes C{sub c} in several instances. On the torus, typical values are C{sub s}=2… Expand
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