Journal of Physics A: Mathematical and Theoretical, ( ISI ), Volume (49), No (11), Year (2016-2) , Pages (1-19)

Title : ( Incoherent tunneling effects in a one-dimensional quantum walk )

Authors: Mostafa Annabestani , Seyed Javad Akhtarshenas , Mohamad Reza Abolhassani ,

Citation: BibTeX | EndNote

In this article we investigate the effects of shifting position decoherence, arising from the incoherent tunneling effect in the experimental realization of the quantum walk, on the one-dimensional discrete time quantum walk. We show that in the regime of this type of noise the quantum behavior of the walker does not vanish, in contrast to the coin decoherence for which the walker undergoes a quantum-to-classical transition even for weak noise. In particular, we show that the quadratic dependence of the variance on the time and also the coin–position entanglement, i.e. two important quantum aspects of the coherent quantum walk, are preserved in the presence of tunneling decoherence. Furthermore, we present an explicit expression for the probability distribution of the decoherent one-dimensional quantum walk in terms of the corresponding coherent probabilities, and show that this type of decoherence smooths the probability distribution.

Keywords

, quantum walk, entanglement,
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@article{paperid:1055837,
author = {Mostafa Annabestani and Akhtarshenas, Seyed Javad and Mohamad Reza Abolhassani},
title = {Incoherent tunneling effects in a one-dimensional quantum walk},
journal = {Journal of Physics A: Mathematical and Theoretical},
year = {2016},
volume = {49},
number = {11},
month = {February},
issn = {1751-8113},
pages = {1--19},
numpages = {18},
keywords = {quantum walk; entanglement; decoherence},
}

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%0 Journal Article
%T Incoherent tunneling effects in a one-dimensional quantum walk
%A Mostafa Annabestani
%A Akhtarshenas, Seyed Javad
%A Mohamad Reza Abolhassani
%J Journal of Physics A: Mathematical and Theoretical
%@ 1751-8113
%D 2016

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