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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1143))

Abstract

With the development of machine learning stepping into a bottleneck period, quantum machine learning has become a new popular research direction. Quantum computing is built on the principle of quantum mechanics, which can abstract the linear evolution process of quantum systems into a linear mathematical calculation process. This paper explores high-efficient storage and parallel computing performance of quantum computing by analyzing some quantum nearest-neighbor algorithms precisely. Based on these ideas, an improved quantum weighted nearest-neighbor algorithm (QWNN) is proposed, which sufficiently conforms to the idea of parallel computing. QWNN algorithm not only inherits special efficient coding method and amplitude estimation technique of previous quantum nearest-neighbor algorithm, but also includes the weighting algorithm of quantum version. The experimental data show that the performance of QWNN is comparable to that of similar algorithms.

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References

  1. Martin, H., Priscila, L.: The world’s technological capacity to store, communicate, and compute information. Science 332, 60 (2011)

    Google Scholar 

  2. Tang, E.: A quantum-inspired classical algorithm for recommendation systems. CoRR https://arxiv.org/abs/1807.04271. (2018)

  3. Schuld, M., Sinayskiy, I., Petruccione, F.: An introduction to quantum machine learning. Contemp. Phy. 56, 172 (2015)

    Google Scholar 

  4. Schuld, M., Sinayskiy, I., Petruccione, F.: The quest for a quantum neural network. Quantum Inf. Process. 13, 2567 (2014)

    Google Scholar 

  5. Lloyd, S., Mohseni, M., Rebentrost, P.: Quantum algorithms for supervised and unsupervised machine learning. Eprint Arxiv (2013)

    Google Scholar 

  6. Vittorio, G., Seth, L., Lorenzo, M.: Quantum random access memory. Phy. Rev. Lett. 100, 160501 (2008)

    Google Scholar 

  7. Giovannetti, V., Lloyd, S., Maccone, L.: Architectures for a quantum random access memory. Phy. Rev. A 78, 4948 (2008)

    Google Scholar 

  8. De Martini, F., et al.: Experimental quantum private queries with linear optics. Phy. Rev. A (2009)

    Google Scholar 

  9. Nielsen, M.S., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)

    Google Scholar 

  10. Boyer, M., Brassard, G., Hoyer, P., Tapp, A., Boyer, M., Brassard, G.: Tight bounds on quantum searching. Fortschritte Der Physik (Prog. Phy.) 46, 493 (1996)

    Google Scholar 

  11. Grover, L.K.: A fast quantum mechanical algorithm for database search (1996)

    Google Scholar 

  12. Dürr, C.: A quantum algorithm for finding the minimum (1996)

    Google Scholar 

  13. Brassard, G., Høyer, P., Mosca, M., Tapp, A.: Quantum amplitude amplification and estimation. Quantum Comput. Inf. 5494, 53 (2012)

    Google Scholar 

  14. Wiebe, N., Kapoor, A., Svore, K.: Quantum algorithms for nearest-neighbor methods for supervised and unsupervised learning. Quantum Inf. Comput. 15, 316 (2015)

    Google Scholar 

  15. Chen, H., Gao, Y., Zhang, J.: Quantum K-nearest neighbor algorithm. J. SE Univ. (Nat. Sci. Ed.). 45, 647 (2015)

    Google Scholar 

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Correspondence to Ying Zhang .

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Zhang, Y., Feng, B., Jia, W., Xu, CZ. (2021). An Improved Quantum Nearest-Neighbor Algorithm. In: Liu, Q., Liu, X., Li, L., Zhou, H., Zhao, HH. (eds) Proceedings of the 9th International Conference on Computer Engineering and Networks . Advances in Intelligent Systems and Computing, vol 1143. Springer, Singapore. https://doi.org/10.1007/978-981-15-3753-0_39

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