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- W4313361464 abstract "When faced with a quantum-solving problem for partial differential equations, people usually transform such problems into Hamiltonian simulation problems or quantum-solving problems for linear equation systems. In this paper, we propose a third approach to solving partial differential equations that differs from the two approaches. By using the duality quantum algorithm, we construct a quantum-solving algorithm for solving the first-order wave equation, which represents a typical class of partial differential equations. Numerical results of the quantum circuit have high precision consistency with the theoretical d'Alembert solution. Then the routine is applied to the wave equation with either a dissipation or dispersion term. As shown by complexity analysis for all these cases of the wave equation, our algorithm has a quadratic acceleration for each iteration compared to the classical algorithm." @default.
- W4313361464 created "2023-01-06" @default.
- W4313361464 creator A5064067668 @default.
- W4313361464 date "2022-12-29" @default.
- W4313361464 modified "2023-10-09" @default.
- W4313361464 title "Quantum-Solving Algorithm for d’Alembert Solutions of the Wave Equation" @default.
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- W4313361464 doi "https://doi.org/10.3390/e25010062" @default.
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