Central limit theorem for reducible and irreducible open quantum walks View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2016-07

AUTHORS

Przemysław Sadowski, Łukasz Pawela

ABSTRACT

In this work we aim at proving central limit theorems for open quantum walks on Zd. We study the case when there are various classes of vertices in the network. In particular, we investigate two ways of distributing the vertex classes in the network. First, we assign the classes in a regular pattern. Secondly, we assign each vertex a random class with a transition invariant distribution. For each way of distributing vertex classes, we obtain an appropriate central limit theorem, illustrated by numerical examples. These theorems may have application in the study of complex systems in quantum biology and dissipative quantum computation. More... »

PAGES

2725-2743

References to SciGraph publications

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  • 2015-02. Quantum control robust with respect to coupling with an external environment in QUANTUM INFORMATION PROCESSING
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  • 2013. Quantum Walks and Search Algorithms in NONE
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  • 2014-02. Quantum control with spectral constraints in QUANTUM INFORMATION PROCESSING
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  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s11128-016-1314-z

    DOI

    http://dx.doi.org/10.1007/s11128-016-1314-z

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1018749879


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