HP-1 circuits achieve O(n) depth while preserving shift invariance and exponentially growing Fisher information, enabling numerical replacement of the QFT in Shor's algorithm with neural net classical post-processing.
Bäumeret al., Quantum fourier transform using dy- namic circuits, arXiv preprint arXiv:2403.09514 (2024)
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$\mathcal{O}(n)$ alternative to Quantum Fourier Transform with efficient neural net classical post-processing
HP-1 circuits achieve O(n) depth while preserving shift invariance and exponentially growing Fisher information, enabling numerical replacement of the QFT in Shor's algorithm with neural net classical post-processing.