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Improved Handwritten Digit Recognition using Quantum K-Nearest Neighbor Algorithm

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Abstract

Handwritten numeral recognition is a technology for automatic recognition and classification of handwritten numeral input through machine learning model. This is widely used in postal code digital automatic system to sort letters. The classical k-nearest neighbor algorithm is used in the traditional digital recognition training model. The recognized digital image classification is obtained through similarity measure or calculation and K value selection. Nonetheless, as the applied data volume exceeds a certain threshold, the time complexity of the model increases exponentially upon the similarity measure and K value search. This condition makes it hard to apply the model universally. In this paper, we introduce quantum computing, that is where digital image information is stored in the quantum state, and its similarity is calculated in parallel. Also, the most similar K points are obtained through the Grover algorithm. The theoretical analysis of the proposed improved algorithm shows that, handwritten numeral recognition based on quantum k-neighbor algorithm can improved upon time complexity of \( \mathrm{O}\left(\mathrm{R}\sqrt{kM}\right) \) of the existing algorithm.

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Acknowledgments

This work is supported by National Natural Science Foundation of China (61802033, 61751110), supported by Postdoctoral research Foundation of China (216638), and also supported by the opening project of Guangdong Provincial key Laboratory of Information Security Technology (2017B030314131).

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Authors and Affiliations

  1. School of Information and Software Engineering, University of Electronic Science and Technology of China, Chengdu, 610054, China

    Yuxiang Wang, Ruijin Wang, Daniel Adu-Gyamfi & Kaibin Tian

  2. Chengdu University of Technology, Chengdu, 610059, China

    Dongfen Li

  3. Xinjiang University of Finance & Economics, Ürümqi, China

    Yixin Zhu

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  1. Yuxiang Wang
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  2. Ruijin Wang
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  3. Dongfen Li
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  4. Daniel Adu-Gyamfi
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  6. Yixin Zhu
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Correspondence to Ruijin Wang.

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Wang, Y., Wang, R., Li, D. et al. Improved Handwritten Digit Recognition using Quantum K-Nearest Neighbor Algorithm. Int J Theor Phys 58, 2331–2340 (2019). https://doi.org/10.1007/s10773-019-04124-5

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