In this talk, David Jennings will give an overview of quantum algorithms for PDEs, describe PsiQuantum’s current state-of-the-art understanding, and discuss the potential for significant quantum advantage in areas such as fluid dynamics and plasma physics:
Extensive work is being done both to construct a full-scale quantum computer, and to design quantum algorithms to run on such a device. One of the major applications will be in the simulation of the dynamics of quantum systems, where exponential advantage over classical methods is expected. However, the Schrödinger equation is ultimately a particular differential equation and so one could ask: to what degree does quantum advantage extend to more general differential equations?
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