Minor embedding with Stuart-Landau oscillator networks

S. L. Harrison; H. Sigurdsson; P. G. Lagoudakis

doi:10.1103/PhysRevResearch.5.013018

Minor embedding with Stuart-Landau oscillator networks

S. L. Harrison, H. Sigurdsson, P. G. Lagoudakis

University of Iceland, Iceland

Research output: Contribution to journal › Article › peer-review

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 on-chip 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.

Original language	English
Article number	013018
Journal	Physical Review Research
Volume	5
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevResearch.5.013018
Publication status	Published - 17 Jan 2023

Bibliographical note

Funding Information:
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.

Publisher Copyright:
© 2023 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

Access to Document

10.1103/PhysRevResearch.5.013018Licence: CC BY

POLNEC: Polaritonic Neuromorphic Computing
Sigurðsson, H. (PI)
1/02/21 → 31/03/23
University of Iceland, Iceland
Project: Research

Cite this

@article{6e09d868de354b718db37e4dc59bc241,

title = "Minor embedding with Stuart-Landau oscillator networks",

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 on-chip 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.",

author = "Harrison, {S. L.} and H. Sigurdsson and Lagoudakis, {P. G.}",

note = "Funding Information: 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. Publisher Copyright: {\textcopyright} 2023 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.",

year = "2023",

month = jan,

day = "17",

doi = "10.1103/PhysRevResearch.5.013018",

language = "English",

volume = "5",

journal = "Physical Review Research",

issn = "2643-1564",

publisher = "American Physical Society",

number = "1",

}

TY - JOUR

T1 - Minor embedding with Stuart-Landau oscillator networks

AU - Harrison, S. L.

AU - Sigurdsson, H.

AU - Lagoudakis, P. G.

N1 - Funding Information: 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. Publisher Copyright: © 2023 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

PY - 2023/1/17

Y1 - 2023/1/17

N2 - 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 on-chip 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.

AB - 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 on-chip 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.

UR - http://www.scopus.com/inward/record.url?scp=85146907807&partnerID=8YFLogxK

U2 - 10.1103/PhysRevResearch.5.013018

DO - 10.1103/PhysRevResearch.5.013018

M3 - Article

AN - SCOPUS:85146907807

SN - 2643-1564

VL - 5

JO - Physical Review Research

JF - Physical Review Research

IS - 1

M1 - 013018

ER -

Minor embedding with Stuart-Landau oscillator networks

Abstract

Bibliographical note

Access to Document

Fingerprint

Projects

POLNEC: Polaritonic Neuromorphic Computing

Cite this