English

On the Structure of Protocols for Magic State Distillation

Quantum Physics 2010-02-15 v2

Abstract

We present a theorem that shows that all useful protocols for magic state distillation output states with a fidelity that is upper-bounded by those generated by a much smaller class of protocols. This reduced class consists of the protocols where multiple copies of a state are projected onto a stabilizer codespace and the logical qubit is then decoded.

Keywords

Cite

@article{arxiv.0908.0838,
  title  = {On the Structure of Protocols for Magic State Distillation},
  author = {Earl T. Campbell and Dan E. Browne},
  journal= {arXiv preprint arXiv:0908.0838},
  year   = {2010}
}

Comments

This paper provides a theorem that is applied in "Bound States for Magic State Distillation", arXiv:0908.0836. These two papers jointly form the content of a talk entitled "Neither Magical nor Classical?", which was presented at TQC 2009, Waterloo. In press at L.N.C.S as a conference post-proceedings

R2 v1 2026-06-21T13:33:02.474Z