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  3. Quantum-inspired Fourier Transforms Based On Circuits.
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  3. Quantum-inspired Fourier Transforms Based On Circuits.

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Quantum-Inspired Fourier Transforms Based on Circuits.

Hanxu Zhang1, Yifan Sun1, Xiangdong Zhang1

  • 1Key Laboratory of advanced optoelectronic quantum architecture and measurements of Ministry of Education, Beijing Key Laboratory of Nanophotonics & Ultrafine Optoelectronic Systems, School of Physics, Beijing Institute of Technology, Beijing, 100081, China.

Advanced Science (Weinheim, Baden-Wurttemberg, Germany)
|August 22, 2025

View abstract on PubMed

Summary
This summary is machine-generated.

A novel classical circuit scheme offers Fourier transform (FT) calculations as fast as quantum FT algorithms. This breakthrough in signal processing avoids specialized quantum environments, enabling wider applications.

Keywords:
Fourier transformcircuit gatesclassical circuit networksquantum algorithmsignal processing

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Area of Science:

  • Electrical Engineering
  • Quantum Computing
  • Signal Processing

Background:

  • Fourier transform (FT) is crucial across science and engineering.
  • Improving FT speed is vital for signal processing.
  • Quantum FT offers speed advantages but requires specialized environments.

Purpose of the Study:

  • To develop a classical circuit-based FT scheme.
  • To achieve FT calculation speeds comparable to quantum FT.
  • To enable wider adoption of high-speed FT.

Main Methods:

  • Designed a classical circuit scheme inspired by quantum FT.
  • Constructed a novel classical correlation analogous to quantum entanglement.
  • Fabricated basic classical gates emulating quantum gate functions.

Main Results:

  • The circuit scheme achieves FT calculation speeds equivalent to quantum FT algorithms.
  • This classical approach is faster than classical fast FT algorithms.
  • Experimental demonstration of fast FT calculation efficiencies using classical circuit networks.

Conclusions:

  • The developed classical circuit FT scheme provides a viable, high-speed alternative to quantum FT.
  • This method bypasses the need for specialized quantum hardware.
  • Anticipated extensive applications in signal processing and beyond.