Description:
<jats:p>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.</jats:p>