Magic-state distillation with the four-qubit code (pp0195-0209)
          Adam M. Meier, Bryan Eastin, and Emanuel Knill
          doi: https://doi.org/10.26421/QIC13.3-4-2
Abstracts: The distillation of magic states is an often-cited technique for enabling universal quantum computing once the error probability for a special subset of gates has been made negligible by other means. We present a routine for magic-state distillation that reduces the required overhead for a range of parameters of practical interest. Each iteration of the routine uses a four-qubit error-detecting code to distill the +1 eigenstate of the Hadamard gate at a cost of ten input states per two improved output states. Use of this routine in combination with the 15-to-1 distillation routine described by Bravyi and Kitaev allows for further improvements in overhead.
Key words:  magic-state, distillation, Clifford, four-qubit code