Relation between Quantum Walks with Tails and Quantum Walks with Sinks on Finite Graphs

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F21%3A00350907" target="_blank" >RIV/68407700:21340/21:00350907 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.3390/sym13071169" target="_blank" >https://doi.org/10.3390/sym13071169</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/sym13071169" target="_blank" >10.3390/sym13071169</a>

Result language
angličtina
Original language name
Relation between Quantum Walks with Tails and Quantum Walks with Sinks on Finite Graphs
Original language description
We connect the Grover walk with sinks to the Grover walk with tails. The survival probability of the Grover walk with sinks in the long time limit is characterized by the centered generalized eigenspace of the Grover walk with tails. The centered eigenspace of the Grover walk is the attractor eigenspace of the Grover walk with sinks. It is described by the persistent eigenspace of the underlying random walk whose support has no overlap to the boundaries of the graph and combinatorial flow in graph theory.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Project
<a href="/en/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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