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, Kalajdzievski, Timjan, Weedbrook, Christian, Lloyd, Seth
Other Authors: Massachusetts Institute of Technology. Department of Mechanical Engineering
Format: Article
Language:English
Published: American Physical Society 2021
Online Access:https://hdl.handle.net/1721.1/136954