Quantum stochastic walks on networks for decision-making.
Quantum stochastic walks on networks for decision-making.
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DOI：
10.1038/srep23812
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发表时间：
2016-03-31
影响因子：
4.6
通讯作者：
Sánchez-Burillo E
中科院分区：
文献类型：
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作者：
Martínez-Martínez I;Sánchez-Burillo E
最近的实验报告了人类处理信息和对信息做出反应时违反了总概率的经典定律以及某些心理表征的不相容性。证据表明，一种更普遍的量子理论有望比经典概率论更好地解释实际决策过程的动力学和结构。受此启发，我们展示了行为选择概率如何作为量子随机步行者在由卢斯响应概率定义的经典网络上的独特平稳分布而出现。这项工作是相关的，因为（i）我们提供了一个非常通用的框架，整合了先前对抗中的量子和经典方法的积极特征，以及（ii）我们定义了一个认知网络，可用于将其他联通主义决策方法带入量子随机领域。我们将决策者建模为一个与周围环境接触的开放系统，决策过程的时间长度也表明决策过程的单一和不可逆动态之间相互作用的程度。在经典网络上实现量子相干性可能是更好地将类人推理偏差融入随机决策模型中的一扇门。
Recent experiments report violations of the classical law of total probability and incompatibility of certain mental representations when humans process and react to information. Evidence shows promise of a more general quantum theory providing a better explanation of the dynamics and structure of real decision-making processes than classical probability theory. Inspired by this, we show how the behavioral choice-probabilities can arise as the unique stationary distribution of quantum stochastic walkers on the classical network defined from Luce’s response probabilities. This work is relevant because (i) we provide a very general framework integrating the positive characteristics of both quantum and classical approaches previously in confrontation, and (ii) we define a cognitive network which can be used to bring other connectivist approaches to decision-making into the quantum stochastic realm. We model the decision-maker as an open system in contact with her surrounding environment, and the time-length of the decision-making process reveals to be also a measure of the process’ degree of interplay between the unitary and irreversible dynamics. Implementing quantum coherence on classical networks may be a door to better integrate human-like reasoning biases in stochastic models for decision-making.