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Analysis and improvement of the watermark strategy for quantum images based on quantum Fourier transform. (English) Zbl 1283.81041

Summary: We investigate the quantum watermark strategy for quantum images based on quantum Fourier transform proposed by W.-W. Zhang et al. [ibid. 2, No. 2, 793–803 (2013; Zbl 1264.81131)]. It is aimed to embed the watermark image into the Fourier coefficients of the quantum carrier image without affecting the carrier image’s visual effect. However, in our opinion the protocol is not clearly described and several steps are ambiguous. Moreover, we argue that the watermarking algorithm claimed by the authors is incorrect. At last, a possible improvement strategy is presented.

MSC:

81P68 Quantum computation
68U10 Computing methodologies for image processing
65T50 Numerical methods for discrete and fast Fourier transforms

Citations:

Zbl 1264.81131
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References:

[1] Zhang, W-W; Gao, F; Liu, B; Wen, Q-Y; Chen, H, A watermark strategy for quantum images based on quantum Fourier transform, Quantum Inf. Process., 12, 793-803, (2013) · Zbl 1264.81131
[2] Zhang, W-W; Gao, F; Liu, B; Jia, HY; Wen, Q-Y; Chen, H, A quantum watermark protocol, Int. J. Theor. Phys., 52, 504-513, (2013) · Zbl 1264.81127
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