English

A novel quantum circuit for the quantum Fourier transform

Quantum Physics 2025-07-30 v2 Computational Physics

Abstract

The Quantum Fourier Transform (QFT) is a fundamental component of many quantum computing algorithms. In this paper, we present an alternative method for factoring this transformation. Inspired by this approach, we introduce a new quantum circuit for implementing the QFT. We show that this circuit is more efficient than the conventional design. Furthermore, using this circuit, we develop alternative versions of the HHL algorithm and Shor's algorithm, which also demonstrate improved performance compared to their standard implementations.

Keywords

Cite

@article{arxiv.2507.08699,
  title  = {A novel quantum circuit for the quantum Fourier transform},
  author = {Juan M. Romero and Emiliano Montoya-González and Guillermo Cruz and Roberto C. Romero},
  journal= {arXiv preprint arXiv:2507.08699},
  year   = {2025}
}

Comments

15 pages, 2 figures. Comments are welcome

R2 v1 2026-07-01T03:56:48.535Z