Multi-walker discrete time quantum walks on arbitrary graphs, their properties and their photonic implementation

Rohde, Peter P., Schreiber, Andreas, Štefaňák, Martin, Jex, Igor and Silberhorn, Christine (2011) Multi-walker discrete time quantum walks on arbitrary graphs, their properties and their photonic implementation. New Journal of Physics, 13 013001: 1-15. doi:10.1088/1367-2630/13/1/013001


Author Rohde, Peter P.
Schreiber, Andreas
Štefaňák, Martin
Jex, Igor
Silberhorn, Christine
Title Multi-walker discrete time quantum walks on arbitrary graphs, their properties and their photonic implementation
Journal name New Journal of Physics   Check publisher's open access policy
ISSN 1367-2630
Publication date 2011-01
Sub-type Article (original research)
DOI 10.1088/1367-2630/13/1/013001
Open Access Status DOI
Volume 13
Issue 013001
Start page 1
End page 15
Total pages 15
Place of publication Temple Way, Bristol, United Kingdom
Publisher Institute of Physics Publishing
Language eng
Subject 3100 Physics and Astronomy
Formatted abstract
Quantum walks have emerged as an interesting alternative to the usual circuit model for quantum computing. While still universal for quantum computing, the quantum walk model has very different physical requirements, which lends itself more naturally to some physical implementations, such as linear optics. Numerous authors have considered walks with one or two walkers, on one-dimensional graphs, and several experimental demonstrations have been performed. In this paper, we discuss generalizing the model of discrete time quantum walks to the case of an arbitrary number of walkers acting on arbitrary graph structures. We present a formalism that allows for the analysis of such situations, and several example scenarios for how our techniques can be applied. We consider the most important features of quantum walks-measurement, distinguishability, characterization and the distinction between classical and quantum interference. We also discuss the potential for physical implementation in the context of linear optics, which is of relevance to present-day experiments.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: Centre for Quantum Computer Technology Publications
 
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