One-dimensional quantum walk with unitary noise

Daniel Shapira*, Ofer Biham, A. J. Bracken, Michelle Hackett

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

48 Scopus citations


The effect of unitary noise on the discrete one-dimensional quantum walk was studied. It was shown that when the quantum walk is exposed to unitary noise it exhibits a crossover from the quantum behavior for short times to classical-like behavior for long times. For times shorter than the crossover time, the standard deviation σα(t) of the spatial distribution of the noisy Hadamard walk, scaled linearly with t, like the noiseless Hadamard walk.

Original languageAmerican English
Article number062315
Pages (from-to)062315/1-062315/8
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number6
StatePublished - Dec 2003


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