One-dimensional quantum walk with unitary noise

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

One-dimensional quantum walk with unitary noise

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

^*Corresponding author for this work

Racah Institute of Physics

Research output: Contribution to journal › Article › peer-review

53 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 σ_α(t) of the spatial distribution of the noisy Hadamard walk, scaled linearly with t, like the noiseless Hadamard walk.

Original language	English
Article number	062315
Pages (from-to)	062315/1-062315/8
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	68
Issue number	6
State	Published - Dec 2003

Cite this

@article{fc2b361a98d74f3b9e1fb142a1de128c,

title = "One-dimensional quantum walk with unitary noise",

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.",

author = "Daniel Shapira and Ofer Biham and Bracken, \{A. J.\} and Michelle Hackett",

year = "2003",

month = dec,

language = "אנגלית",

volume = "68",

pages = "062315/1--062315/8",

journal = "Physical Review A - Atomic, Molecular, and Optical Physics",

issn = "1050-2947",

publisher = "American Physical Society",

number = "6",

}

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 - https://www.scopus.com/pages/publications/1142292322

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

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 -

One-dimensional quantum walk with unitary noise

Abstract

Other files and links

Fingerprint

Cite this