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Simulation of Quantum Error Correction with Mathematica

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Computer Algebra in Scientific Computing (CASC 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8136))

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Abstract

In this paper we consider the problem of quantum error correction and its simulation with the computer algebra system Mathematica. Basic ideas of constructing the quantum error correcting codes are discussed, and some examples of error correction by means of quantum circuits constructed with application of the Mathematica package QuantumCircuit are presented.

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Author information

Authors and Affiliations

  1. Joint Institute for Nuclear Research, 141980, Dubna, Russia

    Vladimir P. Gerdt

  2. Warsaw University of Life Sciences – SGGW, Nowoursynowska 166, 02-787, Warsaw, Poland

    Alexander N. Prokopenya

  3. Collegium Mazovia Innovative University, Sokolowska 161, 08-110, Siedlce, Poland

    Alexander N. Prokopenya

Authors
  1. Vladimir P. Gerdt
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  2. Alexander N. Prokopenya
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Editor information

Editors and Affiliations

  1. Joint Institute for Nuclear Research, Dubna, Moscow Region, Russia

    Vladimir P. Gerdt

  2. Institut für Mathematik, Universität Kassel, Heinrich-Plett-Straße 40, 34132, Kassel, Germany

    Wolfram Koepf

  3. Technische Universität München, 85748, Garching, Germany

    Ernst W. Mayr

  4. Khristianovich Institute of Theoretical and Applied Mechanics, Russian Academy of Sciences, 630090, Novosibirsk, Russia

    Evgenii V. Vorozhtsov

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© 2013 Springer International Publishing Switzerland

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Gerdt, V.P., Prokopenya, A.N. (2013). Simulation of Quantum Error Correction with Mathematica . In: Gerdt, V.P., Koepf, W., Mayr, E.W., Vorozhtsov, E.V. (eds) Computer Algebra in Scientific Computing. CASC 2013. Lecture Notes in Computer Science, vol 8136. Springer, Cham. https://doi.org/10.1007/978-3-319-02297-0_9

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  • DOI: https://doi.org/10.1007/978-3-319-02297-0_9

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-02296-3

  • Online ISBN: 978-3-319-02297-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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