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Quantum strategies for rendezvous and domination tasks on graphs with mobile agents

Abstract

This paper explores the application of quantum nonlocality, a renowned and unique phenomenon acknowledged as a valuable resource. Focusing on an alternative application, we demonstrate its quantum advantage for mobile agents engaged in specific distributed tasks without communication. The research addresses the significant challenge of rendezvous on graphs and introduces a distributed task for mobile agents grounded in the graph domination problem. Through an investigation across various graph scenarios, we showcase the quantum advantage. Additionally, we scrutinize deterministic strategies, highlighting their comparatively lower efficiency compared to quantum strategies. The paper concludes with a numerical analysis, providing further insights into our findings.

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Accepted or Published Version
DOI:
Digital Object Identifier (open in new tab) 10.1103/PhysRevA.109.042201
License
Copyright (2024 American Physical Society)

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Details

Category:
Articles
Type:
artykuły w czasopismach
Published in:
PHYSICAL REVIEW A no. 109,
ISSN: 2469-9926
Language:
English
Publication year:
2024
Bibliographic description:
Viola G., Mironowicz P.: Quantum strategies for rendezvous and domination tasks on graphs with mobile agents// PHYSICAL REVIEW A -,iss. 4 (2024),
DOI:
Digital Object Identifier (open in new tab) 10.1103/physreva.109.042201
Sources of funding:
  • Free publication
Verified by:
Gdańsk University of Technology

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