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Hybrid GF(2) – Boolean Expressions ..for Quantum Computing Circuits

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Reversible Computation (RC 2011)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 7165))

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Abstract

An extension of Toffoli gates is proposed, that allows them to efficiently realize operations in GF(2) and lattice operations of a Boolean algebra. An equivalent extension is introduced into Reed Muller expressions, including mixed polarities and lattice operations, to support the design of quantum computing circuits with low quantum cost.

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Author information

Authors and Affiliations

  1. European Centre for Soft Computing, 33600, Mieres, Asturias, Spain

    Claudio Moraga

  2. Faculty of Computer Science, TU Dortmund University, 44221, Dortmund, Germany

    Claudio Moraga

Authors
  1. Claudio Moraga
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Editor information

Editors and Affiliations

  1. University of Gent, Sint Pietersnieuwstraat 41, 9000, Gent, Belgium

    Alexis De Vos

  2. University of Bremen, Bibliothekstr. 1, 28215, Bremen, Germany

    Robert Wille

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Moraga, C. (2012). Hybrid GF(2) – Boolean Expressions ..for Quantum Computing Circuits. In: De Vos, A., Wille, R. (eds) Reversible Computation. RC 2011. Lecture Notes in Computer Science, vol 7165. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29517-1_5

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  • DOI: https://doi.org/10.1007/978-3-642-29517-1_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-29516-4

  • Online ISBN: 978-3-642-29517-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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