Incoherent dynamics in the toric code subject to disorder

• Published in: arXiv.org
• Main Authors: Röthlisberger, Beat, Wootton, James R, Heath, Robert M, Pachos, Jiannis K, Loss, Daniel
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 07.12.2011
• Subjects: Codes; Coding; Error correction; Lattices (mathematics); Physics - Mesoscale and Nanoscale Physics; Physics - Quantum Physics; Upper bounds

We numerically study the effects of two forms of quenched disorder on the anyons of the toric code. Firstly, a new class of codes based on random lattices of stabilizer operators is presented, and shown to be superior to the standard square lattice toric code for certain forms of biased noise. It is...