An Operator-Theoretic Model of Entanglement Percolation in Series-Parallel Quantum Networks
Abstract
The realization of entanglement distribution (ED) in large-scale quantum networks (QNs), as a fundamental theoretical framework of quantum communication, faces significant challenges. Percolation theory, drawn from statistical physics, has been identified as a potential solution to this problem. Nevertheless, when addressing ED, percolation theory primarily relies on numerical simulations and approximate algorithms. This approach often lacks interpretability and controllability for many phenomena occurring during the ED process in large-scale networks, including emergent phenomena near the threshold. To address these limitations, in this paper, we {focus on} leveraging operator theory to construct a mathematical framework for entanglement percolation in series-parallel QNs. Through the application of operator-theoretic methodologies, we analyze several critical issues within the entanglement percolation process.
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BibTeX
@misc{he2026operatortheoretic,
title = {{An Operator-Theoretic Model of Entanglement Percolation in Series-Parallel Quantum Networks}},
author = {Kan He and Jinchuan Hou and Yaqi Zhao},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.26367},
eprint = {2609.26367},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.26367},
}
RIS
TY - UNPB
TI - An Operator-Theoretic Model of Entanglement Percolation in Series-Parallel Quantum Networks
AU - Kan He
AU - Jinchuan Hou
AU - Yaqi Zhao
PY - 2026
DA - 2026/09/22
PB - arXiv
DO - 10.48550/arxiv.2609.26367
UR - https://arxiv.org/abs/2609.26367
AB - The realization of entanglement distribution (ED) in large-scale quantum networks (QNs), as a fundamental theoretical framework of quantum communication, faces significant challenges. Percolation theory, drawn from statistical physics, has been identified as a potential solution to this problem. Nevertheless, when addressing ED, percolation theory primarily relies on numerical simulations and approximate algorithms. This approach often lacks interpretability and controllability for many phenomena occurring during the ED process in large-scale networks, including emergent phenomena near the threshold. To address these limitations, in this paper, we {focus on} leveraging operator theory to construct a mathematical framework for entanglement percolation in series-parallel QNs. Through the application of operator-theoretic methodologies, we analyze several critical issues within the entanglement percolation process.
ER -