Conditional limit measure of a one-dimensional quantum walk with an absorbing sink

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F18%3A00323062" target="_blank" >RIV/68407700:21340/18:00323062 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1103/PhysRevA.98.012136" target="_blank" >http://dx.doi.org/10.1103/PhysRevA.98.012136</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevA.98.012136" target="_blank" >10.1103/PhysRevA.98.012136</a>

Result language
angličtina
Original language name
Conditional limit measure of a one-dimensional quantum walk with an absorbing sink
Original language description
We consider a two-state quantum walk on a line where after the first step an absorbing sink is placed at the origin. The probability of finding the walker at position j, conditioned on that it has not returned to the origin, is investigated in the asymptotic limit. We prove a limit theorem for the conditional probability distribution and show that it is given by the Konno's density function modified by a prefactor ensuring that the distribution vanishes at the origin. In addition, we discuss the relation to the problem of recurrence of a quantum walk and determine the Polya number. Our approach is based on path counting and the stationary phase approximation.
Czech name
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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
10300 - Physical sciences

Project
<a href="/en/project/GA17-00844S" target="_blank" >GA17-00844S: Photonic Quantum Networks</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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