The integrated information theory is thought to be a key clue towards the theoretical understanding of consciousness. In this study, we propose a simple numerical model comprising a set of coupled double quantum dots, where the disconnection of the elements is represented by the removal of Coulomb interaction between the quantum dots, for the quantitative investigation of integrated information. As a measure of integrated information, we calculate the mutual information in the model system, as the Kullback-Leibler divergence between the connected and disconnected status, through the probability distribution of the electronic states from the master transition-rate equations. We reasonably demonstrate that the increase in the strength of interaction between the quantum dots leads to higher mutual information, owing to the larger divergence in the probability distributions of the electronic states. Our model setup could be a useful basic tool for numerical analyses in the field of integrated information theory.

中文翻译：

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耦合双量子点中的互信息：潜在人工意识的简单分析模型

综合信息论被认为是对意识的理论理解的关键线索。在这项研究中，我们提出了一个简单的数值模型，包括一组耦合的双量子点，其中元素的断开由量子点之间的库仑相互作用的去除来表示，用于综合信息的定量研究。作为综合信息的度量，我们通过主跃迁率方程中电子态的概率分布计算模型系统中的互信息，作为连接状态和断开状态之间的 Kullback-Leibler 散度。我们合理地证明了量子点之间相互作用强度的增加导致更高的互信息，由于电子态的概率分布有较大的差异。我们的模型设置可能是集成信息论领域数值分析的一个有用的基本工具。