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Quantum Cryptography, Quantum Communication, and Quantum Computing in a Noisy Environment

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Quantum Computing:An Environment for Intelligent Large Scale Real Application

Part of the book series: Studies in Big Data ((SBD,volume 33))

Abstract

First, we study several information theories based on quantum computing in a desirable noiseless situation. (1) We present quantum key distribution based on Deutsch’s algorithm using an entangled state. (2) We discuss the fact that the Bernstein-Vazirani algorithm can be used for quantum communication including an error correction. Finally, we discuss the main results. We study the Bernstein-Vazirani algorithm in a noisy environment. The original algorithm determines a noiseless function. Here we consider the case that the function has an environmental noise. We introduce a noise term into the function f(x). So we have another noisy function g(x). The relation between them is \( g(x)=f(x)\pm O(\epsilon ). \) Here \(O(\epsilon )\ll 1\) is the noise term. The goal is to determine the noisy function g(x) with a success probability. The algorithm overcomes classical counterpart by a factor of N in a noisy environment.

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Author information

Authors and Affiliations

  1. Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon, Korea

    Koji Nagata

  2. Department of Information and Computer Science, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama, Japan

    Tadao Nakamura

  3. Computer Sciences Department, Faculty of Computers and Information, Mansoura University, Mansoura, Egypt

    Ahmed Farouk

Authors
  1. Koji Nagata
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  2. Tadao Nakamura
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  3. Ahmed Farouk
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Corresponding author

Correspondence to Koji Nagata .

Editor information

Editors and Affiliations

  1. Faculty of Computers and Information, Cairo University , Cairo, Egypt

    Aboul Ella Hassanien

  2. Faculty of Computer and Information Sciences, Mansoura University, Mansoura, Egypt

    Mohamed Elhoseny

  3. Systems Research Institute, Polish Academy of Sciences , Warsaw, Poland

    Janusz Kacprzyk

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Nagata, K., Nakamura, T., Farouk, A. (2018). Quantum Cryptography, Quantum Communication, and Quantum Computing in a Noisy Environment. In: Hassanien, A., Elhoseny, M., Kacprzyk, J. (eds) Quantum Computing:An Environment for Intelligent Large Scale Real Application . Studies in Big Data, vol 33. Springer, Cham. https://doi.org/10.1007/978-3-319-63639-9_8

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  • DOI: https://doi.org/10.1007/978-3-319-63639-9_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-63638-2

  • Online ISBN: 978-3-319-63639-9

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