About: Continuous deformations of the Grover walk preserving localization

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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://epjd.edpsciences.org/index.php?option=com_article&access=standard&Itemid=129&url=/articles/epjd/abs/2012/05/d120146/d120146.html
Description	The three-state Grover walk on a line exhibits the localization effect characterized by a non-vanishing probability of the particle to stay at the origin. We present two continuous deformations of the Grover walk which preserve its localization nature. The resulting quantum walks differ in the rate at which they spread through the lattice. The velocities of the left and right-traveling probability peaks are given by the maximum of the group velocity. We find the explicit form of peak velocities in dependence on the coin parameter. Our results show that localization of the quantum walk is not a singular property of an isolated coin operator but can be found for entire families of coins. The three-state Grover walk on a line exhibits the localization effect characterized by a non-vanishing probability of the particle to stay at the origin. We present two continuous deformations of the Grover walk which preserve its localization nature. The resulting quantum walks differ in the rate at which they spread through the lattice. The velocities of the left and right-traveling probability peaks are given by the maximum of the group velocity. We find the explicit form of peak velocities in dependence on the coin parameter. Our results show that localization of the quantum walk is not a singular property of an isolated coin operator but can be found for entire families of coins. (en)
Title	Continuous deformations of the Grover walk preserving localization Continuous deformations of the Grover walk preserving localization (en)
skos:prefLabel	Continuous deformations of the Grover walk preserving localization Continuous deformations of the Grover walk preserving localization (en)
skos:notation	RIV/68407700:21340/12:00193557!RIV13-MSM-21340___
http://linked.open...avai/predkladatel	Fakulta jaderná a fyzikálně inženýrská
http://linked.open...avai/riv/aktivita	P S Z
http://linked.open...avai/riv/aktivity	P(LC06002), S, Z(MSM6840770039)
http://linked.open...iv/cisloPeriodika	5
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Jex, Igor Štefaňák, Martin Bezděková, Iva
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	128618
http://linked.open...ai/riv/idVysledku	RIV/68407700:21340/12:00193557
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	quantum walk; localization (en)
http://linked.open.../riv/klicoveSlovo	quantum walk localization
http://linked.open...odStatuVydavatele	FR - Francouzská republika
http://linked.open...ontrolniKodProRIV	[FAB58880D138]
http://linked.open...i/riv/nazevZdroje	The European Physical Journal D
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	3 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Doppler Institute for Mathematical Physics and Applied Mathematics
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	66
http://linked.open...iv/tvurceVysledku	Jex, Igor Štefaňák, Martin Bezděková, Iva
http://linked.open...ain/vavai/riv/wos	000305245400032
http://linked.open...n/vavai/riv/zamer	Matematické, počítačové a experimentální metody ve fyzice
issn	1434-6060
number of pages	7 (xsd:int)
http://bibframe.org/vocab/doi	10.1140/epjd/e2012-30146-9
http://localhost/t...ganizacniJednotka	21340
is http://linked.open...avai/riv/vysledek of	Continuous deformations of the Grover walk preserving localization

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