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2016 | OriginalPaper | Chapter

Applying POVM to Model Non-orthogonality in Quantum Cognition

Authors : Mojtaba Aliakbarzadeh, Kirsty Kitto

Published in: Quantum Interaction

Publisher: Springer International Publishing

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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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Metadata
Title
Applying POVM to Model Non-orthogonality in Quantum Cognition
Authors
Mojtaba Aliakbarzadeh
Kirsty Kitto
Copyright Year
2016
DOI
https://doi.org/10.1007/978-3-319-28675-4_22

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