Percolation induced effects in two-dimensional coined quantum walks: analytic asymptotic solutions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F14%3A00221766" target="_blank" >RIV/68407700:21340/14:00221766 - isvavai.cz</a>
Result on the web
<a href="http://iopscience.iop.org/1367-2630/16/2/023002/pdf/1367-2630_16_2_023002.pdf" target="_blank" >http://iopscience.iop.org/1367-2630/16/2/023002/pdf/1367-2630_16_2_023002.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1367-2630/16/2/023002" target="_blank" >10.1088/1367-2630/16/2/023002</a>

Result language
angličtina
Original language name
Percolation induced effects in two-dimensional coined quantum walks: analytic asymptotic solutions
Original language description
Quantum walks on graphs can model physical processes and serve as efficient tools in quantum information theory. Once we admit random variations in the connectivity of the underlying graph, we arrive at the problem of percolation, where the long-time behaviour appears untreatable with direct numerical methods. We develop novel analytic methods based on the theory of random unitary operations which help us to determine explicitly the asymptotic dynamics of quantum walks on two-dimensional finite integerlattices with percolation. Based on this theory, we find new unexpected features of percolated walks like asymptotic position inhomogeneity or special directional symmetry breaking.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
—

Project
<a href="/en/project/GA13-33906S" target="_blank" >GA13-33906S: Harnessing the Power of Quantum Walks</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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