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.
Parallel Quantum Signal Processing Via Polynomial Factorization
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Quantum algorithms for element-wise polynomial matrix transforms achieve exponential space reduction in polynomial degree with corrections to prior constructions.
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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.
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Quantum element-wise transforms
Quantum algorithms for element-wise polynomial matrix transforms achieve exponential space reduction in polynomial degree with corrections to prior constructions.