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International Journal of Theoretical Physics

Quantum Image Encryption and Decryption Algorithms Based on Quantum Image Geometric Transformations

Ri‐Gui Zhou, Qian Hong Wu, Manqun Zhang, Chenyi Shen

Published Aug 3, 2012• 180 citations
Publisher
DOI
10.1007/s10773-012-1274-8

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An adaptive quantum image encryption method based on wavelet transform is designed. Since the characteristic of most information is centralized in the low frequency part after performing the wavelet transform, it reserves the image low frequency information only, so as to reduce the encryption workload. Then it encrypts the low frequency information by the random key stream generated by logistic map, the encryption process is realized by implementing XOR operation. In the decryption process, it carries out zero filling operations for high frequency coefficient to recover the decryption images which are equal to the plain images. At the same time, the relevant quantum logical circuit is designed. Statistical simulation and theoretical analysis demonstrate that the proposed quantum image encryption algorithm has higher security and lower computational complexity. So it is adaptive to the scenes that need to encrypt a large number of images during network transmission.
Currently, almost all color image encryption/decryption algorithms are designed based on a classical computer, in which the key space is relatively small, and the huge gains from quantum parallelism are not obtained. To address this problem, we propose a novel color image encryption/decryption method based on random rotation of qubit and Quantum Fourier transform (QFT). First, the color image is represented in a quantum superposition state |Image⟩, in which the color information of each pixel is described by only one qubit |c⟩. Then, the |c⟩ are randomly rotated on the Bloch sphere about three coordinate axis, and the QFT is performed on the |Image⟩. Once again, the |c⟩ is randomly rotated on the Bloch sphere and then the inverse QFT is performed on the |Image⟩, which the encryption process is implemented. The keys are the rotation angles of two above-mentioned rotations. The decryption is the inverse process of the encryption. Our method may run on a quantum computer in the future. The simulation results on the classic computer show that our approaches have better security.