A Quantum Algorithm for Assessing Node Importance in the st-Connectivity Attack

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Problems in distributed security often naturally map to graphs. The centrality of nodes assesses the importance of nodes in a graph. It is used in various applications. Cooperative game theory has been used to create nuanced and flexible notions of node centrality. However, the approach is often computationally complex to implement classically. This work describes a quantum approach to approximating the importance of nodes that maintain a target connection. In addition, we detail a method for quickly identifying high-importance nodes. The approximation method relies on quantum subroutines for st-connectivity and approximating Shapley values. The search for important nodes relies on a quantum algorithm to find the maximum. We consider st-connectivity attack scenarios in which a. malicious actor disrupts a subset of nodes to perturb the system functionality. Our methods identify the nodes that are most important in minimizing the impact of the attack. The node centrality metric identifies where more redundancy is required and can be used to enhance network resiliency. Finally, we explore the potential complexity benefits of our quantum approach in contrast to classical random sampling.

Original languageEnglish
Title of host publicationICT Systems Security and Privacy Protection - 40th IFIP International Conference, SEC 2025, Proceedings
EditorsLili Nemec Zlatolas, Kai Rannenberg, Tatjana Welzer, Joaquin Garcia-Alfaro
PublisherSpringer Science and Business Media Deutschland GmbH
Pages234-248
Number of pages15
ISBN (Print)9783031928857
DOIs
Publication statusPublished - 1 Jan 2025
Event40th IFIP International Conference on ICT Systems Security and Privacy Protection, SEC 2025 - Maribor, Spain
Duration: 20 May 202523 May 2025

Publication series

NameIFIP Advances in Information and Communication Technology
Volume746 IFIPAICT
ISSN (Print)1868-4238
ISSN (Electronic)1868-422X

Conference

Conference40th IFIP International Conference on ICT Systems Security and Privacy Protection, SEC 2025
Country/TerritorySpain
CityMaribor
Period20/05/2523/05/25

Keywords

  • Distributed system
  • Game theoretic node centrality
  • Graph analytics
  • Quantum computing
  • st-Connectivity

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