Open AccessNew techniques for Daubechies wavelets and multiwavelets implementation using quantum computing
Author(s) -
Maha Taha,
A Walid Mahmood
Publication year - 2013
Publication title -
facta universitatis. series electronics and energetics/facta universitatis. series: electronics and energetics
Language(s) - English
Resource type - Journals
eISSN - 2217-5997
pISSN - 0353-3670
DOI - 10.2298/fuee1302145t
Subject(s) - daubechies wavelet , wavelet , quantum , permutation (music) , algorithm , quantum computer , wavelet transform , quantum fourier transform , computer science , mathematics , quantum error correction , algebra over a field , discrete wavelet transform , pure mathematics , artificial intelligence , quantum mechanics , physics , acoustics
In this paper, new techniques to implement the Daubechies wavelets and multiwavelets are presented using quantum computing synthesis structures. Also, a new quantum implementation of inverse Daubechies multiwavelet transform is proposed. The permutation matrices, particular unitary matrices, play a pivotal role. The particular set of permutation matrices arising in quantum wavelet and multiwavelet transforms is considered, and efficient quantum circuits that implement them are developed. This allows the design of efficient and complete quantum circuits for the quantum wavelet and multiwavelet transforms.