TL;DR
This paper reviews quantum Fourier transform-based arithmetic circuits, proposes modifications to enhance their capabilities, and introduces a new quantum method for computing weighted averages in the transform domain.
Contribution
It presents modifications to existing quantum Fourier transform adders and multipliers and introduces a novel quantum algorithm for weighted averaging.
Findings
Enhanced quantum Fourier transform circuits for arithmetic operations
New quantum method for weighted averaging in the transform domain
Improved capabilities of quantum arithmetic circuits
Abstract
The Quantum Fourier Transform offers an interesting way to perform arithmetic operations on a quantum computer. We review existing Quantum Fourier Transform adders and multipliers and propose some modifications that extend their capabilities. Among the new circuits, we propose a quantum method to compute the weighted average of a series of inputs in the transform domain.
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