Applying POVM to model non-orthogonality in quantum cognition

Aliakbarzadeh, Mojtaba & Kitto, Kirsty (2016) Applying POVM to model non-orthogonality in quantum cognition. In Quantum Interaction: 9th International Conference, QI 2015, Revised Selected Papers [Lecture Notes in Computer Science, Volume 9535], Springer, Filzbach, Switzerland, pp. 284-293.

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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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ID Code: 89427
Item Type: Conference Paper
Refereed: Yes
Additional Information: All accepted contributions will be published in a conference proceedings volume in the series Lecture Notes in Computer Science (LNCS) by Springer International Publishing.
Additional URLs:
Keywords: quantum cognition, semantic memory, POVM, word association
DOI: 10.1007/978-3-319-28675-4_22
ISBN: 978-3-319-28674-7
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > APPLIED MATHEMATICS (010200) > Applied Mathematics not elsewhere classified (010299)
Australian and New Zealand Standard Research Classification > INFORMATION AND COMPUTING SCIENCES (080000) > ARTIFICIAL INTELLIGENCE AND IMAGE PROCESSING (080100) > Simulation and Modelling (080110)
Australian and New Zealand Standard Research Classification > PSYCHOLOGY AND COGNITIVE SCIENCES (170000) > COGNITIVE SCIENCE (170200) > Linguistic Processes (incl. Speech Production and Comprehension) (170204)
Divisions: Current > Schools > School of Information Systems
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Copyright Owner: Copyright 2015 [Please consult the author]
Deposited On: 26 Oct 2015 04:58
Last Modified: 28 Mar 2016 10:39

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