About: Limit distributions of three-state quantum walks: The role of coin eigenstates

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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	https://journals.aps.org/pra/abstract/10.1103/PhysRevA.90.012342
Description	We analyze two families of three-state quantum walks which show the localization effect. We focus on the role of the initial coin state and its coherence in controlling the properties of the quantum walk. In particular, we show that the description of the walk simplifies considerably when the initial coin state is decomposed in the basis formed by the eigenvectors of the coin operator. This allows us to express the limit distributions in a much more convenient form. Consequently, striking features which are hidden in the standard basis description are easily identified. Moreover, the dependence of moments of the position distribution on the initial coin state can be analyzed in full detail. In particular, we find that in the eigenvector basis the even moments and the localization probability at the origin depend only on incoherent combination of probabilities. In contrast, odd moments and localization outside the origin are affected by the coherence of the initial coin state. We analyze two families of three-state quantum walks which show the localization effect. We focus on the role of the initial coin state and its coherence in controlling the properties of the quantum walk. In particular, we show that the description of the walk simplifies considerably when the initial coin state is decomposed in the basis formed by the eigenvectors of the coin operator. This allows us to express the limit distributions in a much more convenient form. Consequently, striking features which are hidden in the standard basis description are easily identified. Moreover, the dependence of moments of the position distribution on the initial coin state can be analyzed in full detail. In particular, we find that in the eigenvector basis the even moments and the localization probability at the origin depend only on incoherent combination of probabilities. In contrast, odd moments and localization outside the origin are affected by the coherence of the initial coin state. (en)
Title	Limit distributions of three-state quantum walks: The role of coin eigenstates Limit distributions of three-state quantum walks: The role of coin eigenstates (en)
skos:prefLabel	Limit distributions of three-state quantum walks: The role of coin eigenstates Limit distributions of three-state quantum walks: The role of coin eigenstates (en)
skos:notation	RIV/68407700:21340/14:00219876!RIV15-MSM-21340___
http://linked.open...avai/riv/aktivita	P S Z
http://linked.open...avai/riv/aktivity	P(GA13-33906S), P(GP14-02901P), S, Z(MSM6840770039)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2015
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	26214
http://linked.open...ai/riv/idVysledku	RIV/68407700:21340/14:00219876
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	quantum walk; limit distribution; localization (en)
http://linked.open.../riv/klicoveSlovo	limit distribution quantum walk localization
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[F3A2C4768018]
http://linked.open...i/riv/nazevZdroje	Physical Review A
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	Harnessing the Power of Quantum Walks Řešitelné modely kvantových procházek a jejich aplikace
http://linked.open...UplatneniVysledku	2014
http://linked.open...v/svazekPeriodika	90
http://linked.open...iv/tvurceVysledku	Jex, Igor Štefaňák, Martin Bezděková, Iva
http://linked.open...ain/vavai/riv/wos	000341232500003
http://linked.open...n/vavai/riv/zamer	Matematické, počítačové a experimentální metody ve fyzice
issn	1050-2947
number of pages	11 (xsd:int)
http://bibframe.org/vocab/doi	10.1103/PhysRevA.90.012342
http://localhost/t...ganizacniJednotka	21340

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