Uncontrolled unitaries plus controlled preparations replace controlled unitaries in phase estimation, cutting two-qubit gates exponentially when eigenstate preparation is known.
The system is now in|ϕ⟩ s anda 1 is disentangled, holding phase (θ−ϕ) (mod 1)
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Exponentially cheaper coherent phase estimation via uncontrolled unitaries
Uncontrolled unitaries plus controlled preparations replace controlled unitaries in phase estimation, cutting two-qubit gates exponentially when eigenstate preparation is known.