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Main Authors: Harb, Maher, Foroughi, Nader, Stehman, Matt, Lutz, Bob, Erez, Nati, Garcell, Erik
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2602.04495
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author Harb, Maher
Foroughi, Nader
Stehman, Matt
Lutz, Bob
Erez, Nati
Garcell, Erik
author_facet Harb, Maher
Foroughi, Nader
Stehman, Matt
Lutz, Bob
Erez, Nati
Garcell, Erik
contents Network optimization problems represent large combinatorial search spaces that grow exponentially with network size, making them computationally intensive to solve. This paper addresses the latency-resilient Layer 3 routing optimization problem in telecommunications networks with predefined Layer 1 optical links. We formulate this problem as a graph-based optimization problem with the objective of minimizing latency, creating vertex-disjoint paths from each site to the internet backbone, and maximizing overall resiliency by limiting the impact of dual-link failures. By framing the problem as finding two disjoint shortest paths, coupled together with a resiliency component to the objective function, we establish a single formulation to produce optimal path design. The mathematical formulation was adapted to solve the problem using quantum approximate optimization algorithm (QAOA) executed over both quantum simulator and quantum hardware. QAOA was tested on a toy graph topology with 5 vertices and 7 edges and considering two limiting scenarios respectively representing independent (uncorrelated) link failures and highly correlated failure for one pair of edges. Both explored scenarios produced the optimal network design-corresponding to the valid solution with highest frequency of occurrence and minimum energy state, hence, validating the proposed formulation for optimizing Layer 3 routing on quantum systems of the future.
format Preprint
id arxiv_https___arxiv_org_abs_2602_04495
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Quantum-Based Resilient Routing in Networks: Minimizing Latency Under Dual-Link Failures
Harb, Maher
Foroughi, Nader
Stehman, Matt
Lutz, Bob
Erez, Nati
Garcell, Erik
Emerging Technologies
Network optimization problems represent large combinatorial search spaces that grow exponentially with network size, making them computationally intensive to solve. This paper addresses the latency-resilient Layer 3 routing optimization problem in telecommunications networks with predefined Layer 1 optical links. We formulate this problem as a graph-based optimization problem with the objective of minimizing latency, creating vertex-disjoint paths from each site to the internet backbone, and maximizing overall resiliency by limiting the impact of dual-link failures. By framing the problem as finding two disjoint shortest paths, coupled together with a resiliency component to the objective function, we establish a single formulation to produce optimal path design. The mathematical formulation was adapted to solve the problem using quantum approximate optimization algorithm (QAOA) executed over both quantum simulator and quantum hardware. QAOA was tested on a toy graph topology with 5 vertices and 7 edges and considering two limiting scenarios respectively representing independent (uncorrelated) link failures and highly correlated failure for one pair of edges. Both explored scenarios produced the optimal network design-corresponding to the valid solution with highest frequency of occurrence and minimum energy state, hence, validating the proposed formulation for optimizing Layer 3 routing on quantum systems of the future.
title Quantum-Based Resilient Routing in Networks: Minimizing Latency Under Dual-Link Failures
topic Emerging Technologies
url https://arxiv.org/abs/2602.04495