A Framework for Distributed Resource Allocation in Quantum Networks

Fuente: arXiv
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Autori principali: Panigrahy, Nitish K., Bacciottini, Leonardo, Hollot, C. V., Van Milligen, Emily A., de Andrade, Matheus Guedes, Rao, Nageswara S. V., Vardoyan, Gayane, Towsley, Don
Natura: Preprint
Pubblicazione: 2025
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author Panigrahy, Nitish K.
Bacciottini, Leonardo
Hollot, C. V.
Van Milligen, Emily A.
de Andrade, Matheus Guedes
Rao, Nageswara S. V.
Vardoyan, Gayane
Towsley, Don
author_facet Panigrahy, Nitish K.
Bacciottini, Leonardo
Hollot, C. V.
Van Milligen, Emily A.
de Andrade, Matheus Guedes
Rao, Nageswara S. V.
Vardoyan, Gayane
Towsley, Don
contents We introduce a distributed resource allocation framework for the Quantum Internet that relies on feedback-based, fully decentralized coordination to serve multiple co-existing applications. We develop quantum network control algorithms under the mathematical framework of Quantum Network Utility Maximization (QNUM), where utility functions quantify network performance by mapping entanglement rate and quality into a joint optimization objective. We then introduce QPrimal-Dual, a decentralized, scalable algorithm that solves QNUM by strategically placing network controllers that operate using local state information and limited classical message exchange. We prove global asymptotic stability for concave, separable utility functions, and provide sufficient conditions for local stability for broader non-concave cases. To reduce control overhead and account for quantum memory decoherence, we also propose schemes that locally approximate global quantities and prevent congestion in the network. We evaluate the performance of our approach via simulations in realistic quantum network architectures. Results show that QPrimalDual significantly outperforms baseline allocation strategies, scales with network size, and is robust to latency and decoherence. Our observations suggest that QPrimalDual could be a practical, high-performance foundation for fully distributed resource allocation in quantum networks.
format Preprint
id arxiv_https___arxiv_org_abs_2510_09371
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Framework for Distributed Resource Allocation in Quantum Networks
Panigrahy, Nitish K.
Bacciottini, Leonardo
Hollot, C. V.
Van Milligen, Emily A.
de Andrade, Matheus Guedes
Rao, Nageswara S. V.
Vardoyan, Gayane
Towsley, Don
Quantum Physics
Performance
We introduce a distributed resource allocation framework for the Quantum Internet that relies on feedback-based, fully decentralized coordination to serve multiple co-existing applications. We develop quantum network control algorithms under the mathematical framework of Quantum Network Utility Maximization (QNUM), where utility functions quantify network performance by mapping entanglement rate and quality into a joint optimization objective. We then introduce QPrimal-Dual, a decentralized, scalable algorithm that solves QNUM by strategically placing network controllers that operate using local state information and limited classical message exchange. We prove global asymptotic stability for concave, separable utility functions, and provide sufficient conditions for local stability for broader non-concave cases. To reduce control overhead and account for quantum memory decoherence, we also propose schemes that locally approximate global quantities and prevent congestion in the network. We evaluate the performance of our approach via simulations in realistic quantum network architectures. Results show that QPrimalDual significantly outperforms baseline allocation strategies, scales with network size, and is robust to latency and decoherence. Our observations suggest that QPrimalDual could be a practical, high-performance foundation for fully distributed resource allocation in quantum networks.
title A Framework for Distributed Resource Allocation in Quantum Networks
topic Quantum Physics
Performance
url https://arxiv.org/abs/2510.09371