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Shor's algorithm

Nežka Rugelj (2017) Shor's algorithm. Diploma thesis.

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    Abstract

    In this diploma paper we present the Shor’s algorithm for factorising numbers, which runs on quantum computers. Initially, we explain the basics of quantum computing. Afterwards, we present a general review of the Fourier and the discrete Fourier transform, from which we derive the quantum Fourier transform. In the last part, we first give a short introduction to modular arithmetics. Later on, we describe the concept of factorization that is used in Shor’s algorithm. Diploma thesis ends with a detailed review of how the algorithm works on quantum computers and a simple example.

    Item Type: Thesis (Diploma thesis)
    Keywords: Shor's algorithm, quantum computation, factorization, quantum Fourier transform
    Number of Pages: 33
    Language of Content: Slovenian
    Mentor / Comentors:
    Mentor / ComentorsIDFunction
    prof. dr. Janez DemšarMentor
    Link to COBISS: http://www.cobiss.si/scripts/cobiss?command=search&base=50126&select=(ID=11701833)
    Institution: University of Ljubljana
    Department: Faculty of Education
    Item ID: 4668
    Date Deposited: 13 Sep 2017 13:42
    Last Modified: 13 Sep 2017 13:42
    URI: http://pefprints.pef.uni-lj.si/id/eprint/4668

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