aiqbench analysis
This paper proposes a novel operator-theoretic framework to address interpretability and controllability challenges in entanglement distribution within large-scale quantum networks. By moving beyond purely numerical simulations, the work offers a rigorous mathematical approach to analyzing emergent phenomena near percolation thresholds in series-parallel architectures. This advancement is significant for theoretical foundations in quantum communication rather than immediate consumer applications.
An Operator-Theoretic Model of Entanglement Percolation in Series-Parallel Quantum Networks
arXiv:2609.26367v1 Announce Type: new 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.
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.
arXiv:2609.26367 [quant-ph]
(or arXiv:2609.26367v1 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2609.26367 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
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Full text under the publisher's open licence · 207 words
