Quantum Harr wavelet transform and its complete circuits
XU Wen-bo · Jisuanji gongcheng yu sheji · 2007
Because of the prominent advantages of quantum computation compared to classic computation,implementation of quantum wavelet transforms has profound significance to its completion and application.After the circuit for perfect shuffle permutation matrices is finished,the unitary matrices for Harr functions are decomposed into a sequence of W-H and perfect shuffle permutation matrices,based on the generalized Kronecker product.Then the quantum circuit for Harr matrices is provided,its realizable complexity and pos-sibility of physical implementation is analyzed.