Minor embedding with Stuart-Landau oscillator networks
Minor embedding with Stuart-Landau oscillator networks
We theoretically implement a strategy from quantum computation architectures to simulate Stuart-Landau oscillator dynamics in all-to-all connected networks, also referred to as complete graphs. The technique builds upon the triad structure minor embedding which expands dense graphs of interconnected elements into sparse ones which can potentially be realized in future onchip solid state technologies with tunable edge weights. As a case study, we reveal that the minor embedding procedure allows simulating the XY model on complete graphs, thus bypassing a severe geometric constraint.
Harrison, S.L.
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Sigurdsson, H.
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Lagoudakis, P.G.
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Harrison, S.L.
534bfaa4-a993-462e-b833-150f3efc13c0
Sigurdsson, H.
c6380293-fe97-4fd0-a819-cf35721d4e5d
Lagoudakis, P.G.
ea50c228-f006-4edf-8459-60015d961bbf
Harrison, S.L., Sigurdsson, H. and Lagoudakis, P.G.
(2022)
Minor embedding with Stuart-Landau oscillator networks.
Physical Review Research, [013018].
(doi:10.1103/PhysRevResearch.5.013018).
(In Press)
Abstract
We theoretically implement a strategy from quantum computation architectures to simulate Stuart-Landau oscillator dynamics in all-to-all connected networks, also referred to as complete graphs. The technique builds upon the triad structure minor embedding which expands dense graphs of interconnected elements into sparse ones which can potentially be realized in future onchip solid state technologies with tunable edge weights. As a case study, we reveal that the minor embedding procedure allows simulating the XY model on complete graphs, thus bypassing a severe geometric constraint.
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Accepted/In Press date: 1 November 2022
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ACKNOWLEDGMENTS
S.L.H., H.S., and P.G.L. acknowledge the support of the UK’s Engineering and Physical Sciences Research Council (Grant No. EP/M025330/1 on Hybrid Polaritonics). H.S. and P.G.L. also acknowledge the European Union’s Horizon 2020 program, through a FET Open Research and Innovation Action under Grant Agreement No. 899141 (PoLLoC) and No. 964770 (TopoLight). H.S. acknowledges the Icelandic Research Fund (Rannis), Grant No. 217631-051. S.L.H. acknowledges the use of the IRIDIS High Performance Computing Facility and associated support services at the University of Southampton.
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Local EPrints ID: 476492
URI: http://eprints.soton.ac.uk/id/eprint/476492
ISSN: 2643-1564
PURE UUID: af1c6627-8b88-4313-888c-90e0c4fc63ce
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Date deposited: 03 May 2023 18:03
Last modified: 16 Mar 2024 23:05
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Author:
P.G. Lagoudakis
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