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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
Summary
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.
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.
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