Quantum algorithm for nonhomogeneous linear partial differential equations

We describe a quantum algorithm for preparing states that encode solutions of nonhomogeneous linear partial differential equations. The algorithm is a continuous-variable version of matrix inversion: it efficiently inverts differential operators that are polynomials in the variables and their partia...

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Bibliographic Details
Main Authors: Arrazola, Juan Miguel (Author), Kalajdzievski, Timjan (Author), Weedbrook, Christian (Author), Lloyd, Seth (Author)
Format: Article
Language:English
Published: American Physical Society, 2021-11-01T14:39:50Z.
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