References
Zhou N R, Hua T X, Gong L H, et al. Quantum image encryption based on generalized Arnold transform and double random-phase encoding. Quantum Inf Process, 2015, 14: 1193–1213
Heidari S, Vafaei M, Houshmand M, et al. A dual quantum image scrambling method. Quantum Inf Process, 2019, 18: 9
Zhou R G, Sun Y J, Fan P. Quantum image gray-code and bit-plane scrambling. Quantum Inf Process, 2015, 14: 1717–1734
Xu G, Xiao K, Li Z P, et al. Controlled secure direct communication protocol via the three-qubit partially entangled set of states. Comput Mater Continua, 2019, 58: 809–827
Le P Q, Dong F Y, Hirota K. A flexible representation of quantum images for polynomial preparation, image compression, and processing operations. Quantum Inf Process, 2011, 10: 63–84
Zhang Y, Lu K, Gao Y, et al. A novel quantum representation for log-polar images. Quantum Inf Process, 2013, 12: 3103–3126
Sang J Z, Wang S, Li Q. A novel quantum representation of color digital images. Quantum Inf Process, 2017, 16: 42
Jiang N, Wang J, Mu Y. Quantum image scaling up based on nearest-neighbor interpolation with integer scaling ratio. Quantum Inf Process, 2015, 14: 4001–4026
Matsumoto M, Nishimura T. Mersenne twister: a 623-dimensionally equidistributed uniform pseudo-random number generator. ACM Trans Model Comput Simul, 1998, 8: 3–30
Acknowledgements
This work was supported by National Natural Science Foundation of China (Grant No. 61671087), the Fund of the Fundamental Research Funds for the Central Universities (Grant No. 2019XD-A02), and the Major Scientific and Technological Special Project of Guizhou Province (Grant No. 20183001).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Zhu, HH., Chen, XB. & Yang, YX. A quantum image dual-scrambling encryption scheme based on random permutation. Sci. China Inf. Sci. 62, 229501 (2019). https://doi.org/10.1007/s11432-018-1514-y
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11432-018-1514-y