QSWalk: a Mathematica package for quantum stochastic walks on arbitrary graphs

Published: 1 May 2017 | Version 1 | DOI: 10.17632/8rwd3j9zhk.1
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Description of this data

We present a Mathematica package, QSWalk, to simulate the time evaluation of Quantum Stochastic Walks (QSWs) on arbitrary directed and weighted graphs. QSWs are a generalization of continuous time quantum walks that incorporate both coherent and incoherent dynamics and as such, include both quantum walks and classical random walks as special cases. The incoherent component allows for quantum walks along directed graph edges. The dynamics of QSWs are expressed using the Lindblad formalism, originally developed for open quantum systems, which frames the problem in the language of density matrices. For a QSW on a graph of N vertices, we have a sparse superoperator in an N^2-dimensional space, which can be solved efficiently using the built-in MatrixExp function in Mathematica. We illustrate the use of the QSWalk package through several example case studies.

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peer reviewed

This data is associated with the following peer reviewed publication:

QSWalk: A Mathematica package for quantum stochastic walks on arbitrary graphs

Published in: Computer Physics Communications

Latest version

  • Version 1

    2017-05-01

    Published: 2017-05-01

    DOI: 10.17632/8rwd3j9zhk.1

    Cite this dataset

    Falloon, Peter E.; Rodriguez, Jeremy; Wang, Jingbo B. (2017), “QSWalk: a Mathematica package for quantum stochastic walks on arbitrary graphs”, Mendeley Data, v1 http://dx.doi.org/10.17632/8rwd3j9zhk.1

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Natural Sciences

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