A circuit framework fractionalizes dyadic-order unitary operators via ancilla QFT and phase modulation, yielding explicit constructions for the quantum fractional Hartley transform and cosine-transform families of Types I and IV.
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Dyadic-Order Quantum Fractional Transforms: Circuit Constructions and Applications to Hartley and Cosine Transform Families
A circuit framework fractionalizes dyadic-order unitary operators via ancilla QFT and phase modulation, yielding explicit constructions for the quantum fractional Hartley transform and cosine-transform families of Types I and IV.