Survival probability of the Grover walk on the ladder graph

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F23%3A00366852" target="_blank" >RIV/68407700:21340/23:00366852 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1088/1751-8121/accfd4" target="_blank" >https://doi.org/10.1088/1751-8121/accfd4</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1751-8121/accfd4" target="_blank" >10.1088/1751-8121/accfd4</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Survival probability of the Grover walk on the ladder graph

Popis výsledku v původním jazyce

We provide a detailed analysis of the survival probability of the Grover walk on the ladder graph with an absorbing sink. This model was discussed in Mare.s et al (2020 Phys. Rev. A 101 032113), as an example of counter-intuitive behaviour in quantum transport where it was found that the survival probability decreases with the length of the ladder L, despite the fact that the number of dark states increases. An orthonormal basis in the dark subspace is constructed, which allows us to derive a closed formula for the survival probability. It is shown that the course of the survival probability as a function of L can change from increasing and converging exponentially quickly to decreasing and converging like L-1 simply by attaching a loop to one of the corners of the ladder. The interplay between the initial state and the graph configuration is investigated.

Název v anglickém jazyce

Survival probability of the Grover walk on the ladder graph

Popis výsledku anglicky

We provide a detailed analysis of the survival probability of the Grover walk on the ladder graph with an absorbing sink. This model was discussed in Mare.s et al (2020 Phys. Rev. A 101 032113), as an example of counter-intuitive behaviour in quantum transport where it was found that the survival probability decreases with the length of the ladder L, despite the fact that the number of dark states increases. An orthonormal basis in the dark subspace is constructed, which allows us to derive a closed formula for the survival probability. It is shown that the course of the survival probability as a function of L can change from increasing and converging exponentially quickly to decreasing and converging like L-1 simply by attaching a loop to one of the corners of the ladder. The interplay between the initial state and the graph configuration is investigated.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10300 - Physical sciences

Projekt

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

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2023

Kód důvěrnosti údajů

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

Název periodika

Journal of Physics A: Mathematical and Theoretical

ISSN

1751-8113

e-ISSN

1751-8121

Svazek periodika

56

Číslo periodika v rámci svazku

21

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

23

Strana od-do

—

Kód UT WoS článku

000982288300001

EID výsledku v databázi Scopus

2-s2.0-85158906804