Proposes a 'quantum Hilbert transform' via state-dependent phase shifts in the Fourier basis, but the rule does not reproduce the classical Hilbert transform and is not a fixed quantum operation.
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Quantum Hilbert Transform
Proposes a 'quantum Hilbert transform' via state-dependent phase shifts in the Fourier basis, but the rule does not reproduce the classical Hilbert transform and is not a fixed quantum operation.