Quantum Cognition Beyond Hilbert Space: Fundamentals and Applications
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- 关键词：Cognitive modeling ; Quantum structures ; General tension ; reduction model ; Order effects ; Response replicability ; Unpacking effects
- 刊名：Lecture Notes in Computer Science
- 出版年：2017
- 出版时间：2017
- 年：2017
- 卷：10106
- 期：1
- 页码：81-98
- 丛书名：Quantum Interaction
- ISBN：978-3-319-52289-0
- 卷排序：10106
文摘
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’.