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.
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Quantum speedup stems from matching problem structure to interference patterns under constraints of measurement contexts, thermodynamic irreversibility, and contextuality, rather than from parallel computation.
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The Physical and Contextual Limits of Quantum Speedup
Quantum speedup stems from matching problem structure to interference patterns under constraints of measurement contexts, thermodynamic irreversibility, and contextuality, rather than from parallel computation.