Quantum random walks on congested lattices and the effect of dephasing

Keith R. Motes*, Alexei Gilchrist, Peter P. Rohde

*Corresponding author for this work

Research output: Contribution to journalArticle

7 Citations (Scopus)
16 Downloads (Pure)

Abstract

We consider quantum random walks on congested lattices and contrast them to classical random walks. Congestion is modelled on lattices that contain static defects which reverse the walker's direction. We implement a dephasing process after each step which allows us to smoothly interpolate between classical and quantum random walks as well as study the effect of dephasing on the quantum walk. Our key results show that a quantum walker escapes a finite boundary dramatically faster than a classical walker and that this advantage remains in the presence of heavily congested lattices.

Original languageEnglish
Article number19864
Pages (from-to)1-10
Number of pages10
JournalScientific Reports
Volume6
DOIs
Publication statusPublished - 27 Jan 2016

Bibliographical note

Copyright the Author(s) 2016. Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.

Fingerprint Dive into the research topics of 'Quantum random walks on congested lattices and the effect of dephasing'. Together they form a unique fingerprint.

Cite this