About: Discrete time quantum walks on percolation graphs

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://download.springer.com/static/pdf/309/art%253A10.1140%252Fepjp%252Fi2014-14103-6.pdf?auth66=1416492109_939da0f9694d778d5d06b64175f0c6ef&ext=.pdf
Description	Randomly breaking connections in a graph alters its transport properties, a model used to describe percolation. In the case of quantum walks, dynamic percolation graphs represent a special type of imperfections, where the connections appear and disappear randomly in each step during the time evolution. The resulting open system dynamics is hard to treat numerically in general. We shortly review the literature on this problem. We then present our method to solve the evolution on finite percolation graphs in the long time limit, applying the asymptotic methods concerning random unitary maps. We work out the case of one-dimensional chains in detail and provide a concrete, step-by-step numerical example in order to give more insight into the possible asymptotic behavior. The results about the case of the two-dimensional integer lattice are summarized, focusing on the Grover-type coin operator. Randomly breaking connections in a graph alters its transport properties, a model used to describe percolation. In the case of quantum walks, dynamic percolation graphs represent a special type of imperfections, where the connections appear and disappear randomly in each step during the time evolution. The resulting open system dynamics is hard to treat numerically in general. We shortly review the literature on this problem. We then present our method to solve the evolution on finite percolation graphs in the long time limit, applying the asymptotic methods concerning random unitary maps. We work out the case of one-dimensional chains in detail and provide a concrete, step-by-step numerical example in order to give more insight into the possible asymptotic behavior. The results about the case of the two-dimensional integer lattice are summarized, focusing on the Grover-type coin operator. (en)
Title	Discrete time quantum walks on percolation graphs Discrete time quantum walks on percolation graphs (en)
skos:prefLabel	Discrete time quantum walks on percolation graphs Discrete time quantum walks on percolation graphs (en)
skos:notation	RIV/68407700:21340/14:00221767!RIV15-GA0-21340___
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(GA13-33906S)
http://linked.open...iv/cisloPeriodika	5
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Novotný, Jaroslav Jex, Igor
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	České vysoké učení technické v Praze / Fakulta jaderná a fyzikálně inženýrská
http://linked.open...dnocenehoVysledku	11696
http://linked.open...ai/riv/idVysledku	RIV/68407700:21340/14:00221767
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	DECOHERENCE; DYNAMICS; PHOTONS (en)
http://linked.open.../riv/klicoveSlovo	DYNAMICS PHOTONS DECOHERENCE
http://linked.open...odStatuVydavatele	DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV	[368B64D65091]
http://linked.open...i/riv/nazevZdroje	EUROPEAN PHYSICAL JOURNAL PLUS
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	4 (xsd:int)
http://linked.open...vavai/riv/projekt	Harnessing the Power of Quantum Walks
http://linked.open...UplatneniVysledku	2014
http://linked.open...v/svazekPeriodika	129
http://linked.open...iv/tvurceVysledku	Jex, Igor Novotný, Jaroslav Kiss, T. Kollar, B.
http://linked.open...ain/vavai/riv/wos	000336809800001
issn	2190-5444
number of pages	20 (xsd:int)
http://bibframe.org/vocab/doi	10.1140/epjp/i2014-14103-6
http://localhost/t...ganizacniJednotka	21340

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