Gevrey-smooth solutions of linear PDEs can be prepared by a quantum Fourier-basis algorithm with poly(d, log(1/eps)) resources.
So, the domain of definition of ad-variate function is the flat torusT d =R d/2πZd
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Breaking the Curse of Dimensionality in Quantum PDE Solvers via Gevrey Regularity
Gevrey-smooth solutions of linear PDEs can be prepared by a quantum Fourier-basis algorithm with poly(d, log(1/eps)) resources.