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VERSION:2.0
CALSCALE:GREGORIAN
PRODID:UW-Physics-TWaP
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SEQUENCE:0
UID:UW-Physics-Event-2634
DTSTART:20120416T213000Z
DURATION:PT1H0M0S
DTSTAMP:20200220T081707Z
LAST-MODIFIED:20120411T202359Z
LOCATION:5310 Chamberlin
SUMMARY:Multiparticle Quantum Walks and the Graph Isomorphism Problem\, Condensed Matter Theory Group Seminar\, Kenny Rudinger\, UW-Madison
DESCRIPTION:We investigate the quantum dynamics of particles on graphs ("quantum walk")\, with the aim of developing quantum algorithms for determining whether or not two graphs are isomorphic. We investigate such walks on strongly regular graphs (SRGs)\, a class of graphs with high symmetry. We explore the effects of particle number and interaction range on a walk's ability to distinguish non-isomorphic graphs. We numerically find that both non-interacting three-boson and three-fermion continuous time walks have the same distinguishing power on a dataset of 70\,712 pairs of SRGs\, each distinguishing over 99.6% of the pairs. We also find that increasing to four non-interacting particles further increases distinguishing power on this dataset. While increasing particle number increases distinguishing power\, we prove that any walk of a fixed number of non-interacting particles cannot distinguish all SRGs.
URL:https://wp.physics.wisc.edu/twap/?id=2634
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