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International Conference on Computational Science

ICCS 2022: Computational Science – ICCS 2022 pp 179–194Cite as

Efficient Constructions for Simulating Multi Controlled Quantum Gates

Part of the Lecture Notes in Computer Science book series (LNCS,volume 13353)

Abstract

Multi Controlled Gates, with Multi Controlled Toffoli as primary example are a building block for a lot of complex quantum algorithms in the domains of discrete arithmetic, cryptography, machine learning, and image processing. However, these gates cannot be physically implemented in quantum hardware and therefore they need to be decomposed into many smaller elementary gates. In this work we analyse previously proposed circuit constructions for MCT gates and describe 6 new methods for generating MCT circuits with efficient costs, less restrictions, and improved applicability.

Keywords

  • Multi-controlled Toffoli gate
  • Quantum circuit
  • Ancilla qubit
  • Efficient quantum algorithms

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Authors and Affiliations

  1. Faculty of Computer Science, Al. I. Cuza University of Iaşi, 700506, Iaşi, Romania

    Stefan Balauca & Andreea Arusoaie

Authors
  1. Stefan Balauca
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  2. Andreea Arusoaie
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Corresponding author

Correspondence to Stefan Balauca .

Editor information

Editors and Affiliations

  1. Brunel University London, London, UK

    Derek Groen

  2. University of Amsterdam, Amsterdam, The Netherlands

    Clélia de Mulatier

  3. AGH University of Science and Technology, Krakow, Poland

    Prof. Maciej Paszynski

  4. University of Amsterdam, Amsterdam, The Netherlands

    Dr. Valeria V. Krzhizhanovskaya

  5. University of Tennessee at Knoxville, Knoxville, TN, USA

    Prof. Jack J. Dongarra

  6. University of Amsterdam, Amsterdam, The Netherlands

    Prof. Dr. Peter M. A. Sloot

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Balauca, S., Arusoaie, A. (2022). Efficient Constructions for Simulating Multi Controlled Quantum Gates. In: Groen, D., de Mulatier, C., Paszynski, M., Krzhizhanovskaya, V.V., Dongarra, J.J., Sloot, P.M.A. (eds) Computational Science – ICCS 2022. ICCS 2022. Lecture Notes in Computer Science, vol 13353. Springer, Cham. https://doi.org/10.1007/978-3-031-08760-8_16

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  • DOI: https://doi.org/10.1007/978-3-031-08760-8_16

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-08759-2

  • Online ISBN: 978-3-031-08760-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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