Many computational problems that need to be solved in science and engineering are in the form of differential equations. Here we provide a method to solve differential equations on quantum computers in the case where the equations depend on time. Our method provides exponential accuracy, which means that the computation time depends only logarithmically on the allowable error. Similarly, the computational complexity only depends logarithmically on the rate of change of the equations, allowing efficient solution for rapidly changing equations. Our method also provides a simplified approach for the time-independent case.

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The above citations are from Crossref's cited-by service (last updated successfully 2026-08-07 22:44:27) and SAO/NASA ADS (last updated successfully 2026-08-07 22:44:29). The list may be incomplete as not all publishers provide suitable and complete citation data.