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Leveraging Quantum Computing for Accelerated Classical Algorithms in Power Systems Optimization

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arxiv 2503.19112 v1 pith:MT2PTUTD submitted 2025-03-24 math.OC quant-ph

Leveraging Quantum Computing for Accelerated Classical Algorithms in Power Systems Optimization

classification math.OC quant-ph
keywords powerquantumalgorithmalgorithmsclassicalcomputingensuregrid
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The recent advent of commercially available quantum annealing hardware (QAH) has expanded opportunities for research into quantum annealing-based algorithms. In the domain of power systems, this advancement has driven increased interest in applying such algorithms to mixed-integer problems (MIP) like Unit Commitment (UC). UC focuses on minimizing power generator operating costs while adhering to physical system constraints. Grid operators solve UC instances daily to meet power demand and ensure safe grid operations. This work presents a novel hybrid algorithm that leverages quantum and classical computing to solve UC more efficiently. We introduce a novel Benders-cut generation technique for UC, thereby enhancing cut quality, reducing expensive quantum-classical hardware interactions, and lowering qubit requirements. Additionally, we incorporate a $k$-local neighborhood search technique as a recovery step to ensure a higher quality solution than current QAH alone can achieve. The proposed algorithm, QC4UC, is evaluated on a modified instance of the IEEE RTS-96 test system. Results from both a simulated annealer and real QAH are compared, demonstrating the effectiveness of this algorithm in reducing qubit requirements and producing near-optimal solutions on noisy QAH.

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  1. Performance enhancing of hybrid quantum-classical Benders approach for MILP optimization

    quant-ph 2026-01 conditional novelty 6.0

    Precomputed embeddings reduce the preprocessing overhead of a quantum-annealer-based Benders decomposition by about an order of magnitude on small transmission-network expansion problems, with no loss in solution quality.