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arXiv · 2512.17582

Investigating methods to solve large windfarm optimization problems with a minimum number of qubits using circuit-based quantum computers

James Hancock·Matthew Craven·Craig McNeile
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Abstract

This study investigates quantum computing approaches for solving the windfarm layout optimization (WFLO) problems formulated as a quadratic unconstrained binary optimization (QUBO) problem. We investigate two encoding methods that require fewer than one qubit per grid point: the previously developed Pauli correlation encoding (PCE) and a novel single-qubit operator encoding (SQOE). These methods are tested on three windfarm configurations - two from prior WFLO scaling studies and a new real-world model based on an existing windfarm in Wales. The improved encoding methods allow us to solve WFLO problems on $9\times 9$ grids using up to 20 qubits on a quantum computer simulator. The results show that both encoding methods perform competitively and demonstrate favorable scaling characteristics across the tested systems.

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James Hancock, Matthew Craven, Craig McNeile. 2025-12-19. Investigating methods to solve large windfarm optimization problems with a minimum number of qubits using circuit-based quantum computers. https://arxiv.org/abs/2512.17582

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