Exponential speed-up of quantum Fourier transform

Physics Corner 2022. 7. 16. 22:46

Quick summary: Except a special class of quantum states where quantum Fourier transform can exponentially speedup, in general it is not faster than classical Fourier transform. Definition of classical Fourier transform A discrete Fourier transform (DFT) of a 2n-length vector $x= \left( x_0, x_1, \ldots, x_{2^n..

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