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Quantum Information Processing

Order-encoded quantum image model and parallel histogram specification

Guanlei Xu, Xiaogang Xu, Xun Wang, Xiaotong Wang

Published Oct 3, 2019• 32 citations
Publisher
DOI
10.1007/s11128-019-2463-7

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Abstract Quantum information hiding is a crucial branch within the field of information security, but existing algorithms frequently neglect the significance of quantum cover images. Consequently, this paper presents an improved quantum reversible data hiding scheme based on histogram shifting, which utilizes the novel enhanced quantum representation model and the quantum probability image encoding model to represent the image. Moreover, quantum analog-to-digital conversion is utilized to convert the probability amplitudes representing the histogram data into a qubit string. This allows for the identification of histogram peak and zero points via maximum and minimum values quantum finding algorithms. Subsequently, quantum parallelism is exploited to shift pixels situated between peak and zero points towards the zero points, thereby embedding secret information into the peak point pixels. Furthermore, a quantum circuit is designed to completely extract the secret information and achieve lossless recovery of the cover image. Complexity analysis of the quantum circuit reveals that the complexity is determined by the image grayscale rather than its size, and simulation experiments demonstrate that the proposed scheme illustrate that the proposed scheme attains superior visual quality compared to existing works.