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Optimized Time-Dependent Hamiltonian Evolution Quantum Solver for Power System Transient Computations
DescriptionQuantum computing have been demonstrated as a promising solution for computation-intensive power system electromagnetic transient (EMT) computations. However, existing work have focused on time-independent Hamiltonian evolution to solve ordinary differential equations (ODEs) with heavily classical interactions. This work propose OHQS, an optimized time-dependent Hamiltonian evolution quantum solver, to enable high-accuracy computation for ODE-dominated EMT problems without classical iterations. The spatiotemporay mapping transformation is discretized to construct iterative quantum circuit evolution, leveraging the spatiotemporal fixed points (SFPs)-enabled automatic optimizer to reduce discretized errors. Experimental results have demonstrated that OHQS can support time-dependent Hamiltonian evolution in practical applications with up to 99.91% accuracy and achieve up to 9.56× error reduction compared to classical methods. The observed exponential decay of the relative error implies that system qubits scales as O(log(1/ξ)) and the ξ is the target relative error tolerance.