Recommendation systems with the quantum k-NN and Grover algorithms for data processing

• Autorzy: Sawerwain Marek , Wróblewski Marek

Identyfikatory

DOI

10.2478/amcs-2019-0011

• Języki publikacji: EN

Abstrakty

EN

In this article, we discuss the implementation of a quantum recommendation system that uses a quantum variant of the k-nearest neighbours algorithm and the Grover algorithm to search for a specific element in an unstructured database. In addition to the presentation of the recommendation system as an algorithm, the article also shows the main steps in construction of a suitable quantum circuit for realisation of a given recommendation system. The computational complexity of individual calculation steps in the recommendation system is also indicated. The verification of the correctness of the proposed system is analysed as well, indicating an algebraic equation describing the probability of success of the recommendation. The article also shows numerical examples presenting the behaviour of the recommendation system for two selected cases.

Słowa kluczowe

EN

quantum k-NN algorithm; recommendation system; Grover algorithm; big data

PL

kwantowy algorytm k-NN; system rekomendujący; algorytm Grovera; zbiór danych

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2019
• Tom: Vol. 29, no. 1
• Strony: 139--150
• Opis fizyczny: Bibliogr. 36 poz., rys., tab., wykr.

Twórcy

autor

Sawerwain Marek

• Institute of Control and Computation Engineering, University of Zielona Góra, Licealna 9, 65-417 Zielona Góra, Poland

autor

Wróblewski Marek

• Institute of Control and Computation Engineering, University of Zielona Góra, Licealna 9, 65-417 Zielona Góra, Poland

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).