For AC power flow, any quantum solver built from state preparation, a quantum linear solve, and full readout has runtime Ω(Nκ/ε), slower than classical NRLF's O(Nκ log(κ/ε)) at normal accuracies.
Quantum computing for power flow algorithms: Testing on real quantum computers,
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Conditions for Quantum Advantage in AC Power Flow
For AC power flow, any quantum solver built from state preparation, a quantum linear solve, and full readout has runtime Ω(Nκ/ε), slower than classical NRLF's O(Nκ log(κ/ε)) at normal accuracies.