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Quantum Algorithms for Modulated Circulant Matrix Vector Multiplication

arXiv
Authors: Kimy Agudelo, Aldo Quelopana Cristina Manzaneda

Year

2026

Paper ID

68923

Status

Preprint

Abstract Read

~2 min

Abstract Words

50

Citations

N/A

Abstract

Modulated circulant matrices form a special class of N-parametric circulant matrices, recently introduced in the literature, with a structured spectral decomposition based on a Vandermonde type basis. Motivated by this definition, in this work we define the Modulated Quantum Fourier Transform (MQFT), a quantum primitive tailored to this matrix family.

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  • Modulated circulant matrices form a special class of N-parametric circulant matrices, recently introduced in the literature, with a structured spectral decomposition based on a...

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