Physics – Quantum Physics
Scientific paper
2011-01-31
Phys. Rev. Lett. 107, 030503 (2011)
Physics
Quantum Physics
5 pages, 2 figures. To appear in PRL. Presented as a contributed talk at QIP 2011
Scientific paper
10.1103/PhysRevLett.107.030503
Anderson localization emerges in quantum systems when randomised parameters cause the exponential suppression of motion. Here we consider this phenomenon in topological models and establish its usefulness for protecting topologically encoded quantum information. For concreteness we employ the toric code. It is known that in the absence of a magnetic field this can tolerate a finite initial density of anyonic errors, but in the presence of a field anyonic quantum walks are induced and the tolerable density becomes zero. However, if the disorder inherent in the code is taken into account, we demonstrate that the induced localization allows the topological quantum memory to regain a finite critical anyon density, and the memory to remain stable for arbitrarily long times. We anticipate that disorder inherent in any physical realisation of topological systems will help to strengthen the fault-tolerance of quantum memories.
Pachos Jiannis K.
Wootton James R.
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