One-dimensional quantum walk with unitary noise

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

Research output: Contribution to journalArticlepeer-review

50 Scopus citations

Abstract

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 languageEnglish
Article number062315
Pages (from-to)062315/1-062315/8
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume68
Issue number6
StatePublished - 1 Jan 2003
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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