Novel quantum image compression and encryption algorithm based on DQWT and 3D hyper-chaotic Henon map

A novel quantum image compression and encryption algorithm with Daubechies D(4)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {D^{(4)}} $$\end{document} quantum wavelet transform (DQWT) and 3D hyper-chaotic Henon map is presented. The quantum image is firstly scrambled by the iterative generalized Arnold transforms to eliminate its block effect. Then, the produced quantum image is compressed with DQWT and measurement matrix, which could be implemented with Hadamard gate. Subsequently, a quantum key image is constructed by a hyper-chaotic Henon sequence generated by 3D hyper-chaotic Henon map under the control of three initial values and two parameters. The quantum key image is XORed with the produced quantum compression image. The key space is relatively large enough since there are three initial values and two parameters involved. Numerical simulations demonstrate that the proposed quantum image compression and encryption algorithm is feasible, secure and efficient.