TY - JOUR
T1 - One-dimensional quantum walk with unitary noise
AU - Shapira, Daniel
AU - Biham, Ofer
AU - Bracken, A. J.
AU - Hackett, Michelle
PY - 2003/12
Y1 - 2003/12
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=1142292322&partnerID=8YFLogxK
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AN - SCOPUS:1142292322
SN - 1050-2947
VL - 68
SP - 062315/1-062315/8
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 6
M1 - 062315
ER -