1. Quantum-inspired optimization for wavelength assignment
- Author
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Aleksey S. Boev, Sergey R. Usmanov, Alexander M. Semenov, Maria M. Ushakova, Gleb V. Salahov, Alena S. Mastiukova, Evgeniy O. Kiktenko, and Aleksey K. Fedorov
- Subjects
quantum-inspired ,quantum technologies ,wavelength assignment (WA) ,quantum algorithm ,QUBO ,Physics ,QC1-999 - Abstract
Problems related to wavelength assignment (WA) in optical communications networks involve allocating transmission wavelengths for known transmission paths between nodes that minimize a certain objective function, for example, the total number of wavelengths. Playing a central role in modern telecommunications, this problem belongs to NP-complete class for a general case so that obtaining optimal solutions for industry-relevant cases is exponentially hard. In this work, we propose and develop a quantum-inspired algorithm for solving the wavelength assignment problem. We propose an advanced embedding procedure to transform this problem into the quadratic unconstrained binary optimization (QUBO) form, having a improvement in the number of iterations with price-to-pay being a slight increase in the number of variables (“spins”). Then, we compare a quantum-inspired technique for solving the corresponding QUBO form against classical heuristic and industrial combinatorial solvers. The obtained numerical results indicate on an advantage of the quantum-inspired approach in a substantial number of test cases against the industrial combinatorial solver that works in the standard setting. Our results pave the way to the use of quantum-inspired algorithms for practical problems in telecommunications and open a perspective for further analysis of the use of quantum computing devices.
- Published
- 2023
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