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Applying POVM to Model Non-orthogonality in Quantum Cognition

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Quantum Interaction (QI 2015)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9535))

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Abstract

Much of the work currently occurring in the field of Quantum Interaction (QI) relies upon Projective Measurement. This is perhaps not optimal, cognitive states are not nearly as well behaved as standard quantum mechanical systems; they exhibit violations of repeatability, and the operators that we use to describe measurements do not appear to be naturally orthogonal in cognitive systems. Here we attempt to map the formalism of Positive Operator Valued Measure (POVM) theory into the domain of semantic memory, showing how it might be used to construct Bell-type inequalities.

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Author information

Authors and Affiliations

  1. Queensland University of Technology, Brisbane, 4000, Australia

    Mojtaba Aliakbarzadeh & Kirsty Kitto

Authors
  1. Mojtaba Aliakbarzadeh
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  2. Kirsty Kitto
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Corresponding author

Correspondence to Kirsty Kitto .

Editor information

Editors and Affiliations

  1. ETH Zurich, Zurich, Switzerland

    Harald Atmanspacher

  2. University of Freiburg, Freiburg, Germany

    Thomas Filk

  3. City University London, London, United Kingdom

    Emmanuel Pothos

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Aliakbarzadeh, M., Kitto, K. (2016). Applying POVM to Model Non-orthogonality in Quantum Cognition. In: Atmanspacher, H., Filk, T., Pothos, E. (eds) Quantum Interaction. QI 2015. Lecture Notes in Computer Science(), vol 9535. Springer, Cham. https://doi.org/10.1007/978-3-319-28675-4_22

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  • DOI: https://doi.org/10.1007/978-3-319-28675-4_22

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-28674-7

  • Online ISBN: 978-3-319-28675-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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