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Quantum realization of the nearest-neighbor interpolation method for FRQI and NEQR

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Abstract

This paper is concerned with the feasibility of the classical nearest-neighbor interpolation based on flexible representation of quantum images (FRQI) and novel enhanced quantum representation (NEQR). Firstly, the feasibility of the classical image nearest-neighbor interpolation for quantum images of FRQI and NEQR is proven. Then, by defining the halving operation and by making use of quantum rotation gates, the concrete quantum circuit of the nearest-neighbor interpolation for FRQI is designed for the first time. Furthermore, quantum circuit of the nearest-neighbor interpolation for NEQR is given. The merit of the proposed NEQR circuit lies in their low complexity, which is achieved by utilizing the halving operation and the quantum oracle operator. Finally, in order to further improve the performance of the former circuits, new interpolation circuits for FRQI and NEQR are presented by using Control-NOT gates instead of a halving operation. Simulation results show the effectiveness of the proposed circuits.

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Acknowledgments

This work is supported by the National Science Foundation of China (61301099, 60832010, 61501148 and 61361166006). We thank the previous researchers’ work about nearest-neighbor interpolation method for INEQR. Thanks are due to many anonymous reviewers for their assistance with the discussion about the improved circuits and the simulation results.

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Authors and Affiliations

  1. Department of Computer Science and Technology, Harbin Institute of Technology, Harbin, China

    Jianzhi Sang, Shen Wang & Xiamu Niu

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  1. Jianzhi Sang
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  2. Shen Wang
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  3. Xiamu Niu
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Correspondence to Xiamu Niu.

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Sang, J., Wang, S. & Niu, X. Quantum realization of the nearest-neighbor interpolation method for FRQI and NEQR. Quantum Inf Process 15, 37–64 (2016). https://doi.org/10.1007/s11128-015-1135-5

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  • DOI: https://doi.org/10.1007/s11128-015-1135-5

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