Novel Application of Quantum Computing for Routing and Spectrum Assignment in Flexi-Grid Optical Networks

Flexi-grid technology has revolutionized optical networking by enabling Elastic Optical Networks (EONs) that offer greater flexibility and dynamism compared to traditional fixed-grid systems. As data traffic continues to grow exponentially, the need for efficient and scalable solutions to the routin...

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Main Authors: Oumayma Bouchmal, Bruno Cimoli, Ripalta Stabile, Juan Jose Vegas Olmos, Carlos Hernandez, Ricardo Martinez, Ramon Casellas, Idelfonso Tafur Monroy
Format: Article
Language:English
Published: MDPI AG 2024-10-01
Series:Photonics
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Online Access:https://www.mdpi.com/2304-6732/11/11/1023
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author Oumayma Bouchmal
Bruno Cimoli
Ripalta Stabile
Juan Jose Vegas Olmos
Carlos Hernandez
Ricardo Martinez
Ramon Casellas
Idelfonso Tafur Monroy
author_facet Oumayma Bouchmal
Bruno Cimoli
Ripalta Stabile
Juan Jose Vegas Olmos
Carlos Hernandez
Ricardo Martinez
Ramon Casellas
Idelfonso Tafur Monroy
author_sort Oumayma Bouchmal
collection DOAJ
description Flexi-grid technology has revolutionized optical networking by enabling Elastic Optical Networks (EONs) that offer greater flexibility and dynamism compared to traditional fixed-grid systems. As data traffic continues to grow exponentially, the need for efficient and scalable solutions to the routing and spectrum assignment (RSA) problem in EONs becomes increasingly critical. The RSA problem, being NP-Hard, requires solutions that can simultaneously address both spatial routing and spectrum allocation. This paper proposes a novel quantum-based approach to solving the RSA problem. By formulating the problem as a Quadratic Unconstrained Binary Optimization (QUBO) model, we employ the Quantum Approximate Optimization Algorithm (QAOA) to effectively solve it. Our approach is specifically designed to minimize end-to-end delay while satisfying the continuity and contiguity constraints of frequency slots. Simulations conducted using the Qiskit framework and IBM-QASM simulator validate the effectiveness of our method. We applied the QAOA-based RSA approach to small network topology, where the number of nodes and frequency slots was constrained by the limited qubit count on current quantum simulator. In this small network, the algorithm successfully converged to an optimal solution in less than 30 iterations, with a total runtime of approximately 10.7 s with an accuracy of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>78.8</mn><mo>%</mo></mrow></semantics></math></inline-formula>. Additionally, we conducted a comparative analysis between QAOA, integer linear programming, and deep reinforcement learning methods to evaluate the performance of the quantum-based approach relative to classical techniques. This work lays the foundation for future exploration of quantum computing in solving large-scale RSA problems in EONs, with the prospect of achieving quantum advantage as quantum technology continues to advance.
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spelling doaj-art-e7bd2f9b7b6f48fda5f41a50dffaa9b12025-08-20T02:04:55ZengMDPI AGPhotonics2304-67322024-10-011111102310.3390/photonics11111023Novel Application of Quantum Computing for Routing and Spectrum Assignment in Flexi-Grid Optical NetworksOumayma Bouchmal0Bruno Cimoli1Ripalta Stabile2Juan Jose Vegas Olmos3Carlos Hernandez4Ricardo Martinez5Ramon Casellas6Idelfonso Tafur Monroy7Department of Electrical Engineering, Eindhoven University of Technology (TU/e), 5612 AZ Eindhoven, The NetherlandsDepartment of Electrical Engineering, Eindhoven University of Technology (TU/e), 5612 AZ Eindhoven, The NetherlandsDepartment of Electrical Engineering, Eindhoven University of Technology (TU/e), 5612 AZ Eindhoven, The NetherlandsNVIDIA Corporation, Yokneam Illit 2066730, IsraelCentre Tecnològic de Telecomunicacions de Catalunya (CTTC-CERCA), 08860 Castelldefels, SpainCentre Tecnològic de Telecomunicacions de Catalunya (CTTC-CERCA), 08860 Castelldefels, SpainCentre Tecnològic de Telecomunicacions de Catalunya (CTTC-CERCA), 08860 Castelldefels, SpainDepartment of Electrical Engineering, Eindhoven University of Technology (TU/e), 5612 AZ Eindhoven, The NetherlandsFlexi-grid technology has revolutionized optical networking by enabling Elastic Optical Networks (EONs) that offer greater flexibility and dynamism compared to traditional fixed-grid systems. As data traffic continues to grow exponentially, the need for efficient and scalable solutions to the routing and spectrum assignment (RSA) problem in EONs becomes increasingly critical. The RSA problem, being NP-Hard, requires solutions that can simultaneously address both spatial routing and spectrum allocation. This paper proposes a novel quantum-based approach to solving the RSA problem. By formulating the problem as a Quadratic Unconstrained Binary Optimization (QUBO) model, we employ the Quantum Approximate Optimization Algorithm (QAOA) to effectively solve it. Our approach is specifically designed to minimize end-to-end delay while satisfying the continuity and contiguity constraints of frequency slots. Simulations conducted using the Qiskit framework and IBM-QASM simulator validate the effectiveness of our method. We applied the QAOA-based RSA approach to small network topology, where the number of nodes and frequency slots was constrained by the limited qubit count on current quantum simulator. In this small network, the algorithm successfully converged to an optimal solution in less than 30 iterations, with a total runtime of approximately 10.7 s with an accuracy of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>78.8</mn><mo>%</mo></mrow></semantics></math></inline-formula>. Additionally, we conducted a comparative analysis between QAOA, integer linear programming, and deep reinforcement learning methods to evaluate the performance of the quantum-based approach relative to classical techniques. This work lays the foundation for future exploration of quantum computing in solving large-scale RSA problems in EONs, with the prospect of achieving quantum advantage as quantum technology continues to advance.https://www.mdpi.com/2304-6732/11/11/1023flexi-gridelastic optical networksrouting and spectrum assignmentquantumcomputingquantum approximate optimization algorithmquadratic unconstrained binary optimization
spellingShingle Oumayma Bouchmal
Bruno Cimoli
Ripalta Stabile
Juan Jose Vegas Olmos
Carlos Hernandez
Ricardo Martinez
Ramon Casellas
Idelfonso Tafur Monroy
Novel Application of Quantum Computing for Routing and Spectrum Assignment in Flexi-Grid Optical Networks
Photonics
flexi-grid
elastic optical networks
routing and spectrum assignment
quantumcomputing
quantum approximate optimization algorithm
quadratic unconstrained binary optimization
title Novel Application of Quantum Computing for Routing and Spectrum Assignment in Flexi-Grid Optical Networks
title_full Novel Application of Quantum Computing for Routing and Spectrum Assignment in Flexi-Grid Optical Networks
title_fullStr Novel Application of Quantum Computing for Routing and Spectrum Assignment in Flexi-Grid Optical Networks
title_full_unstemmed Novel Application of Quantum Computing for Routing and Spectrum Assignment in Flexi-Grid Optical Networks
title_short Novel Application of Quantum Computing for Routing and Spectrum Assignment in Flexi-Grid Optical Networks
title_sort novel application of quantum computing for routing and spectrum assignment in flexi grid optical networks
topic flexi-grid
elastic optical networks
routing and spectrum assignment
quantumcomputing
quantum approximate optimization algorithm
quadratic unconstrained binary optimization
url https://www.mdpi.com/2304-6732/11/11/1023
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