2024/09/12 by M.N. Sinha Roy, Roy, Mayank, Devi Maheswaran +1
Biochemistry, Genetics and Molecular Biology · Computer Science · Engineering · #FOS: Electrical engineering #FOS: Physical sciences #Optical Network Technologies #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Signal Processing (eess.SP) #Spectroscopy Techniques in Biomedical and Chemical Research #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.2409.07983
openalex publication_date 2024/09/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, an algorithm for Quantum Inverse Fast Fourier Transform (QIFFT) is developed to work for quantum data. Analogous to a classical discrete signal, a quantum signal can be represented in Dirac notation, application of QIFFT is a tensor transformation from frequency domain to time domain. If the tensors are merely complex entries, then we get the classical scenario. We have included the complete formulation of QIFFT algorithm from the classical model and have included butterfly diagram. QIFFT outperforms regular inversion of Quantum Fourier Transform (QFT) in terms of computational complexity, quantum parallelism and improved versatility.