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

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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://iopscience.iop.org/1367-2630/16/2/023002/pdf/1367-2630_16_2_023002.pdf
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 integer lattices with percolation. Based on this theory, we find new unexpected features of percolated walks like asymptotic position inhomogeneity or special directional symmetry breaking. 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 integer lattices with percolation. Based on this theory, we find new unexpected features of percolated walks like asymptotic position inhomogeneity or special directional symmetry breaking. (en)
Title	Percolation induced effects in two-dimensional coined quantum walks: analytic asymptotic solutions Percolation induced effects in two-dimensional coined quantum walks: analytic asymptotic solutions (en)
skos:prefLabel	Percolation induced effects in two-dimensional coined quantum walks: analytic asymptotic solutions Percolation induced effects in two-dimensional coined quantum walks: analytic asymptotic solutions (en)
skos:notation	RIV/68407700:21340/14:00221766!RIV15-GA0-21340___
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(GA13-33906S)
http://linked.open...iv/cisloPeriodika	Feb
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	36117
http://linked.open...ai/riv/idVysledku	RIV/68407700:21340/14:00221766
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	GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV	[30D91C8A772A]
http://linked.open...i/riv/nazevZdroje	New Journal of Physics
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	16
http://linked.open...iv/tvurceVysledku	Jex, Igor Novotný, Jaroslav Kiss, T. Kollar, B.
http://linked.open...ain/vavai/riv/wos	000332612000002
issn	1367-2630
number of pages	19 (xsd:int)
http://bibframe.org/vocab/doi	10.1088/1367-2630/16/2/023002
http://localhost/t...ganizacniJednotka	21340

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