• Home
  • News
  • Technology
  • Research
  • Teaching
  • Business
  • Jobs
  • Home
  • News
  • Technology
  • Research
  • Teaching
  • Business
  • Jobs
Contact
  • Deutsch
  • English

  • Home
  • News
  • Technology
  • Research
  • Teaching
  • Business
  • Jobs
Contact
  • Deutsch
  • English

NISQ-Ready Community Detection Based on Separation-Node Identification

NISQ-Ready Community Detection Based on Separation-Node Identification

Jonas Stein, Dominik Ott, Jonas Nüßlein, David Bucher, Mirco Schönfeld, and Sebastian Feld

Abstract

Abstract

The analysis of network structure is essential to many scientific areas ranging from biology to sociology. As the computational task of clustering these networks into partitions, i.e., solving the community detection problem, is generally NP-hard, heuristic solutions are indispensable. The exploration of expedient heuristics has led to the development of particularly promising approaches in the emerging technology of quantum computing. Motivated by the substantial hardware demands for all established quantum community detection approaches, we introduce a novel QUBO-based approach that only needs number-of-nodes qubits and is represented by a QUBO matrix as sparse as the input graph’s adjacency matrix. The substantial improvement in the sparsity of the QUBO matrix, which is typically very dense in related work, is achieved through the novel concept of separation nodes. Instead of assigning every node to a community directly, this approach relies on the identification of a separation-node set, which, upon its removal from the graph, yields a set of connected components, representing the core components of the communities. Employing a greedy heuristic to assign the nodes from the separation-node sets to the identified community cores, subsequent experimental results yield a proof of concept by achieving an up to 95% optimal solution quality on three established real-world benchmark datasets. This work hence displays a promising approach to NISQ-ready quantum community detection, catalyzing the application of quantum computers for the network structure analysis of large-scale, real-world problem instances.

Mathematics 2023, 11(15), 3323; https://doi.org/10.3390/math11153323



QAR-Lab – Quantum Applications and Research Laboratory
Ludwig-Maximilians-Universität München
Oettingenstraße 67
80538 Munich
Phone: +49 89 2180-9153
E-mail: qar-lab@mobile.ifi.lmu.de

© Copyright 2025

General

Team
Contact
Legal notice

Social Media

Twitter Linkedin Github

Language

  • Deutsch
  • English
Cookie-Zustimmung verwalten
Wir verwenden Cookies, um unsere Website und unseren Service zu optimieren.
Funktional Always active
Die technische Speicherung oder der Zugang ist unbedingt erforderlich für den rechtmäßigen Zweck, die Nutzung eines bestimmten Dienstes zu ermöglichen, der vom Teilnehmer oder Nutzer ausdrücklich gewünscht wird, oder für den alleinigen Zweck, die Übertragung einer Nachricht über ein elektronisches Kommunikationsnetz durchzuführen.
Preferences
The technical storage or access is necessary for the legitimate purpose of storing preferences that are not requested by the subscriber or user.
Statistiken
Die technische Speicherung oder der Zugriff, der ausschließlich zu statistischen Zwecken erfolgt. The technical storage or access that is used exclusively for anonymous statistical purposes. Without a subpoena, voluntary compliance on the part of your Internet Service Provider, or additional records from a third party, information stored or retrieved for this purpose alone cannot usually be used to identify you.
Marketing
Die technische Speicherung oder der Zugriff ist erforderlich, um Nutzerprofile zu erstellen, um Werbung zu versenden oder um den Nutzer auf einer Website oder über mehrere Websites hinweg zu ähnlichen Marketingzwecken zu verfolgen.
Manage options Manage services Manage {vendor_count} vendors Read more about these purposes
Einstellungen anzeigen
{title} {title} {title}