Abstract

Mathematical frameworks of quantum theory have recently been adopted in cognitive and behavioral sciences, to explain the violations of normative decision theory and anomalies in cognition. However, to date, no study has attempted to explore neural implementations of such “quantum-like” information processing in the brain. This study demonstrates that neural population coding of information with nonlinear neural response functions can account for such “quantum” information processing in decision-making and cognition. It is also shown that quantum decision theory is a special case of more general population vector cording theory. Future applications of the present theory in the rapidly evolving field of “psychophysical neuroeconomics” are also discussed.

Highlights

  • This study demonstrates that neural population coding of information with nonlinear neural response functions can account for such “quantum” information processing in decision-making and cognition

  • Recent years witnessed a rapid growing of the applications of mathematical frameworks of quantum physics [1,2,3] and quantum information theory [4] in psychology, cognitive science, behavioral science, and economics [5,6,7,8,9,10,11]

  • One of the advantages of the utilization of “quantum” theoretical frameworks is that quantum probability theory can describe the violation of some classical probability laws such as the law of total probability [10]

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Summary

Introduction

Recent years witnessed a rapid growing of the applications of mathematical frameworks of quantum physics [1,2,3] and quantum information theory [4] in psychology, cognitive science, behavioral science, and economics [5,6,7,8,9,10,11]. It is shown that quantum decision theory is a special case of more general population vector cording theory.

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