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Quantum Cognition Beyond Hilbert Space: Fundamentals and Applications

  • Diederik Aerts
  • Lyneth Beltran
  • Massimiliano Sassoli de Bianchi
  • Sandro SozzoEmail author
  • Tomas Veloz
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10106)

Abstract

The ‘quantum cognition’ paradigm was recently challenged by its proven impossibility to simultaneously model ‘question order effects’ and ‘response replicability’. In the present article we describe sequential dichotomic measurements within an operational and realistic framework for human cognition, and represent them in a quantum-like ‘extended Bloch representation’, where the Born rule of quantum probability does not necessarily hold. We then apply this mathematical framework to successfully model question order effects, response replicability and unpacking effects, thus opening the way toward ‘quantum cognition beyond Hilbert space’.

Keywords

Cognitive modeling Quantum structures General tension-reduction model Order effects Response replicability Unpacking effects 

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Diederik Aerts
    • 1
  • Lyneth Beltran
    • 1
  • Massimiliano Sassoli de Bianchi
    • 2
  • Sandro Sozzo
    • 3
    Email author
  • Tomas Veloz
    • 1
  1. 1.Center Leo Apostel (Clea)Brussels Free University (VUB)BrusselBelgium
  2. 2.Laboratorio di Autoricerca di BaseLuganoSwitzerland
  3. 3.School of Business and Institute IQSCSUniversity of LeicesterLeicesterUK

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