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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F14%3A00219876" target="_blank" >RIV/68407700:21340/14:00219876 - isvavai.cz</a>

Výsledek na webu

<a href="https://journals.aps.org/pra/abstract/10.1103/PhysRevA.90.012342" target="_blank" >https://journals.aps.org/pra/abstract/10.1103/PhysRevA.90.012342</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/PhysRevA.90.012342" target="_blank" >10.1103/PhysRevA.90.012342</a>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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 whichare 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 evenmoments 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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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 whichare 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 evenmoments 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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BE - Teoretická fyzika

OECD FORD obor

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Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2014

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Physical Review A

ISSN

1050-2947

e-ISSN

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Svazek periodika

90

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

11

Strana od-do

"012342-1"-"012342-11"

Kód UT WoS článku

000341232500003

EID výsledku v databázi Scopus

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