The recent article published in "Quantum Information Processing" details the implementation of a Fast Fourier Transform in the quantum domain, referred to as QFFT. This method is capable of addressing all problems typically handled by conventional FFTs while offering the advantage of processing multiple data sets concurrently. The QFFT utilizes U(N) transformations executed by quantum gates, as outlined in "Elementary gates for quantum computation." This advancement marks a significant leap in quantum computing methodologies.
PREREQUISITESQuantum computing researchers, software developers in quantum algorithms, and anyone interested in advanced computational techniques in the quantum domain.
The method is applicable to all the problems processed by the conventional FFT. Moreover, the QFFT can simultaneously process multiple data sets which can be generated by U(N) transformations realized by quantum gates as in ["Elementary gates for quantum computation"].