STABILITY OF POINT SPECTRUM FOR THREE-STATE QUANTUM WALKS ON A LINE

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F14%3A00219879" target="_blank" >RIV/68407700:21340/14:00219879 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

STABILITY OF POINT SPECTRUM FOR THREE-STATE QUANTUM WALKS ON A LINE

Original language description

Evolution operators of certain quantum walks possess, apart from the continuous part, also a point spectrum. The existence of eigenvalues and the corresponding stationary states lead to partial trapping of the walker in the vicinity of the origin. We analyze the stability of this feature for three-state quantum walks on a line subject to homogenous coin deformations. We find two classes of coin operators that preserve the point spectrum. These new classes of coins are generalizations of coins found previously by different methods and shed light on the rich spectrum of coins that can drive discrete-time quantum walks.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BE - Theoretical physics

OECD FORD branch

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Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

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

Publication year

2014

Confidentiality

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

Name of the periodical

Quantum Information and Computation

ISSN

1533-7146

e-ISSN

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Volume of the periodical

14

Issue of the periodical within the volume

13-14

Country of publishing house

US - UNITED STATES

Number of pages

14

Pages from-to

1213-1226

UT code for WoS article

000340579900011

EID of the result in the Scopus database

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