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Quantum image scaling based on bilinear interpolation with arbitrary scaling ratio

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Abstract

In recent years, quantum image scaling considered as one of the most common and basic operations in quantum image processing has been widely studied. In this paper, quantum algorithm based on bilinear interpolation with arbitrary scaling ratio is proposed to resize quantum images. Firstly, a quantum image with arbitrary size \( H \times W \) is described by the generalized quantum image representation. Then, bilinear interpolation is used to create new pixels (when scaling up) or delete redundant pixels (when scaling down). By utilizing the quantum operations that have been designed, the concrete circuits of quantum image scaling algorithm with arbitrary scaling ratio are implemented. Finally, the network complexity of the quantum circuits based on the basic quantum gates is analyzed and the simulation results based on the classical computer’s MATLAB software are given.

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Acknowledgements

This work is supported by the National Key R&D Plan under Grant Nos. 2018YFC1200200 and 2018YFC1200205, National Natural Science Foundation of China under Grant No. 61463016 and “Science and Technology Innovation Action Plan” of Shanghai in 2017 under Grant No. 17510740300.

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Authors and Affiliations

  1. College of Information Engineering, Shanghai Maritime University, Shanghai, 201306, China

    Ri-Gui Zhou, Yu Cheng & DaQian Liu

  2. Research Center of Intelligent Information Processing and Quantum Intelligent Computing, Shanghai, 201306, China

    Ri-Gui Zhou, Yu Cheng & DaQian Liu

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  1. Ri-Gui Zhou
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  2. Yu Cheng
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  3. DaQian Liu
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Correspondence to Yu Cheng.

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Zhou, RG., Cheng, Y. & Liu, D. Quantum image scaling based on bilinear interpolation with arbitrary scaling ratio. Quantum Inf Process 18, 267 (2019). https://doi.org/10.1007/s11128-019-2377-4

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