Quantum models of cognition and decision

Quantum models of cognition and decision
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DOI:
10.1080/17445760.2017.1410547
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发表时间:
2018-02
期刊:
International Journal of Parallel, Emergent and Distributed Systems
影响因子:
--
通讯作者:
Andrzej Lukasik
Andrzej Lukasik
中科院分区:
其他
文献类型:
--
作者:
Andrzej Lukasik

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摘要本文旨在讨论量子认知研究纲领的基本思想,它包括量子力学(主要是希尔伯特空间理论和量子概率论)的形式主义元素,用于模拟人类的认知和决策过程。在本计划的作者看来,心理学文献中的悖论实证发现可以根据量子力学的概念来解释。形式上,描述了定义在有限区间[0,T]上的离散时间随机链χ,并且χ(t)只能假设有限个值。这类过程的空间H将是有限维的。然后研究了H上量子概率空间的一些性质及其应用。
Abstract The purpose of this article is to discuss principle ideas of quantum cognition research program, which comprise elements of the formalism of quantum mechanics (mainly Hilbert space theory and quantum probability theory) for modeling human cognition and decision processes. In the opinion of authors of this program, paradox empirical findings in psychological literature may be explained based on concepts of quantum mechanics. Formally, there is described a discrete-time random chain χ which is defined on a finite interval [0, T] and χ(t) can assume only finite number of values. The space H of such processes will be finite-dimensioned. Then some properties and applications of the quantum probability space on H are studied.