Unveiling the importance of nonshortest paths in quantum networks
File(s)
Published version
Author(s)
Type
Journal Article
Abstract
Quantum networks (QNs) exhibit stronger connectivity than predicted by classical percolation, yet the origin of this phenomenon remains unexplored. We apply a statistical physics model—concurrence percolation—to uncover the origin of stronger connectivity on hierarchical scale-free networks, the (U, V) flowers. These networks allow full analytical control over path connectivity through two adjustable path-length parameters, ≤V. This precise control enables us to determine critical exponents well beyond current simulation limits, revealing that classical and concurrence percolations, while both satisfying the hyperscaling relation, fall into distinct universality classes. This distinction arises from how they “superpose” parallel, nonshortest path contributions into overall connectivity. Concurrence percolation, unlike its classical counterpart, is sensitive to nonshortest paths and shows higher resilience to detours as these paths lengthen. This enhanced resilience is also observed in real-world hierarchical, scale-free internet networks. Our findings highlight a crucial principle for QN design: When nonshortest paths are abundant, they notably enhance QN connectivity beyond what is achievable with classical percolation.
Date Issued
2025-02-26
Date Acceptance
2025-01-24
Citation
Science Advances, 2025, 11 (9)
ISSN
2375-2548
Publisher
American Association for the Advancement of Science (AAAS)
Journal / Book Title
Science Advances
Volume
11
Issue
9
Copyright Statement
© 2025 The Authors, some rights reserved; exclusive licensee American Association for the Advancement of Science. No claim to original U.S. Government Works. Distributed under a Creative Commons Attribution License 4.0 (CC BY). https://creativecommons.org/licenses/by/4.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
License URL
Identifier
https://www.ncbi.nlm.nih.gov/pubmed/40009660
Subjects
BOND PERCOLATION
Multidisciplinary Sciences
Science & Technology
Science & Technology - Other Topics
Publication Status
Published
Coverage Spatial
United States
Article Number
eadt2404
Date Publish Online
2025-02-26