Quantum algorithms for solving linear differential equations

Details Quantum algorithms for solving linear differential equations Quantum algorithms for solving linear differential equations

2010-10-13

arxiv.org/abs/1010.2745v1

Physics

Quantum Physics

12 pages, comments welcome

Scientific paper

Linear differential equations are ubiquitous in science and engineering. Quantum computers can simulate quantum systems, which are described by homogeneous linear differential equations that produce only oscillating terms. Here we extend quantum simulation algorithms to general inhomogeneous linear differential equations, which can include exponential terms as well as oscillating terms in their solution. As with other algorithms of this type, the solution is encoded in amplitudes of the quantum state. The algorithm does not give the explicit solution, but it is possible to extract global features of the solution.

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