$\mathcal{O}(n)$ alternative to Quantum Fourier Transform with efficient neural net classical post-processing
A family of shallow circuits using Hadamards and controlled-Phase gates, HP-$L$ circuits, are constructed that prove preserve shift invariance and the $\mathcal{O}(n)$ HP-$1$ QFT in the numerical implementation of Shor's algorithm.
Ka Bian, Zujin Wen, Oscar C. O. Dahlsten
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