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A Clifford Algebra of Signature (n,3n) and the Density Operators of Quantum Information Theory

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Abstract

This paper presents an algebraic language for fundamental elements of quantum information theory (the density operators), based in the properties of a Clifford algebra of signature (n,3n). We prove that the new description of these elements preserves the same mathematical properties obtained with the classical description. We also extend some results presented in the literature that relate Clifford algebra and quantum information.

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Authors and Affiliations

  1. State University of Santa Cruz, Ilheus, BA, 45662-900, Brazil

    Nolmar Melo

  2. State University of Campinas (IMECC-UNICAMP), Campinas - SP, 13081-970, Brazil

    Carlile Lavor

Authors
  1. Nolmar Melo
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  2. Carlile Lavor
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Correspondence to Nolmar Melo.

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Melo, N., Lavor, C. A Clifford Algebra of Signature (n,3n) and the Density Operators of Quantum Information Theory. Adv. Appl. Clifford Algebras 23, 143–152 (2013). https://doi.org/10.1007/s00006-012-0341-9

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  • DOI: https://doi.org/10.1007/s00006-012-0341-9

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