Physics – Quantum Physics
Scientific paper
2011-12-07
Phys. Rev. A 85, 022313 (2012)
Physics
Quantum Physics
13 pages, 12 figures
Scientific paper
10.1103/PhysRevA.85.022313
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 further argued that these codes are close to optimal, in that they tightly reach the upper bound of error thresholds beyond which no correctable CSS codes can exist. Additionally, we study the classical motion of anyons in toric codes with randomly distributed onsite potentials. In the presence of repulsive long-range interaction between the anyons, a surprising increase with disorder strength of the lifetime of encoded states is reported and explained by an entirely incoherent mechanism. Finally, the coherent transport of the anyons in the presence of both forms of disorder is investigated, and a significant suppression of the anyon motion is found.
Heath Robert M.
Loss Daniel
Pachos Jiannis K.
Röthlisberger Beat
Wootton James R.
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