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arXiv · 2606.09618

Quantum Algorithms for Modulated Circulant Matrix Vector Multiplication

Kimy Agudelo·Aldo Quelopana Cristina Manzaneda
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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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Kimy Agudelo, Aldo Quelopana Cristina Manzaneda. 2026-06-08. Quantum Algorithms for Modulated Circulant Matrix Vector Multiplication. https://arxiv.org/abs/2606.09618

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