Abstract
Similarity analyses between quantum images are so essential in quantum image processing that it provides fundamental research for the other fields, such as quantum image matching, quantum pattern recognition. In this paper, a quantum scheme based on a novel quantum image representation and quantum amplitude amplification algorithm is proposed. At the end of the paper, three examples and simulation experiments show that the measurement result must be 0 when two images are same, and the measurement result has high probability of being 1 when two images are different.






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Acknowledgements
This work is supported by the National Natural Science Foundation of China under Grant No. 61463016, “Science and technology innovation action plan” of Shanghai in 2017 under Grant No. 17510740300, and the advantages of scientific and technological innovation team of Nanchang City under Grant No. 2015CXTD003; H. I. acknowledges support by FDCT of Macau under Grant 065/2016/A2, University of Macau under Grant MYRG2014-00052-FST, and National Science Foundation of China under Grant 11404415.
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Zhou, RG., Liu, X., Zhu, C. et al. Similarity analysis between quantum images. Quantum Inf Process 17, 121 (2018). https://doi.org/10.1007/s11128-018-1894-x
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DOI: https://doi.org/10.1007/s11128-018-1894-x