Quantum simulation of discrete linear dynamical systems and simple iterative methods in linear algebra
Shi Jin,
Nana Liu
Abstract:Quantum simulation is capable of simulating certain dynamical systems in continuous time—Schrödinger’s equations being the most direct and well known—more efficiently than classical simulation. Any linear dynamical system can in fact be transformed into a system of Schrödinger’s equations via a method called Schrödingerisation (Jin
et al.
2022. Quantum simulation of partial differential equations via Schrödingerisation. (
https://arxiv.org/abs/2212.13969
) and Ji… Show more
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