English

Purification of large bicolorable graph states

Quantum Physics 2007-05-23 v2

Abstract

We describe novel purification protocols for bicolorable graph states. The protocols scale efficiently for large graph states. We introduce a method of analysis that allows us to derive simple recursion relations characterizing their behavior as well as analytical expressions for their thresholds and fixed point behavior. We introduce two purification protocols with high threshold. They can, for graph degree four, tolerate 1% (3%) gate error or 20% (30%) local error.

Keywords

Cite

@article{arxiv.quant-ph/0605228,
  title  = {Purification of large bicolorable graph states},
  author = {Kovid Goyal and Alex McCauley and Robert Raussendorf},
  journal= {arXiv preprint arXiv:quant-ph/0605228},
  year   = {2007}
}

Comments

12 pages, 5 figures, revtex; typos and clarifications added

R2 v1 2026-07-22T19:55:14.800Z