Group velocity of discrete-time quantum walks

Kempf, A. and Portugal, R. (2009) Group velocity of discrete-time quantum walks. Physical Review A, 79 5: 052317-1-052317-7. doi:10.1103/PhysRevA.79.052317

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Author Kempf, A.
Portugal, R.
Title Group velocity of discrete-time quantum walks
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
Publication date 2009-05-01
Sub-type Article (original research)
DOI 10.1103/PhysRevA.79.052317
Open Access Status File (Publisher version)
Volume 79
Issue 5
Start page 052317-1
End page 052317-7
Total pages 7
Place of publication College Park, MD, United States
Publisher American Physical Society
Language eng
Formatted abstract
We show that certain types of quantum walks can be modeled as waves that propagate in a medium with phase and group velocities that are explicitly calculable. Since the group and phase velocities indicate how fast wave packets can propagate causally, we propose the use of these wave velocities in our definition for the hitting time of quantum walks. Our definition of hitting time has the advantage that it requires neither the specification of a walker’s initial condition nor of an arrival probability threshold. We give full details for the case of quantum walks on the Cayley graphs of Abelian groups. This includes the special cases of quantum walks on the line and on hypercubes.
Keyword Graph theory
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Mathematics and Physics
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Citation counts: TR Web of Science Citation Count  Cited 15 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 15 times in Scopus Article | Citations
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Created: Thu, 03 Sep 2009, 17:58:29 EST by Mr Andrew Martlew on behalf of Physics