Physics – Quantum Physics
Scientific paper
2002-08-31
Pys. Rev. A 67 042315 2003
Physics
Quantum Physics
(Imperial College London) 6 (+epsilon) pages, 6 embedded eps figures, RevTex4. v2 minor changes to correct typos and refs, sub
Scientific paper
10.1103/PhysRevA.67.042315
We present a study of the effects of decoherence in the operation of a discrete quantum walk on a line, cycle and hypercube. We find high sensitivity to decoherence, increasing with the number of steps in the walk, as the particle is becoming more delocalised with each step. However, the effect of a small amount of decoherence is to enhance the properties of the quantum walk that are desirable for the development of quantum algorithms. Specifically, we observe a highly uniform distribution on the line, a very fast mixing time on the cycle, and more reliable hitting times across the hypercube.
Kendon Viv
Tregenna Ben
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