Quantum-Inspired Fourier Transforms Based on Circuits.

ABSTRACT: Fourier transform (FT) is ubiquitous in modern society due to their broad applications in many branches of science and engineering. Improving the speed of FT is a common interest in the fields of signal processing. The quantum FT is generally believed to be superior to classical algorithms, but it requires a special quantum environment to perform, which has not yet been widely used. Inspired by quantum FT, here a new FT scheme is demonstrated based on circuits. In the circuit scheme, a new type of classical correlation, which its mathematical form corresponds to those of quantum entanglement, has been constructed. The calculation speed using the designed circuit scheme is equivalent to those based on the quantum FT algorithms, which is faster than those based on the classical fast FT algor

SUBMITTER: Zhang H 

PROVIDER: S-EPMC12622536 | biostudies-literature | 2025 Nov

REPOSITORIES: biostudies-literature