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The integrated information theory is thought to be a key clue towards thetheoretical understanding of consciousness. In this study, we propose a simplenumerical model comprising a set of coupled double quantum dots, where thedisconnection of the elements is represented by the removal of Coulombinteraction between the quantum dots, for the quantitative investigation ofintegrated information. As a measure of integrated information, we calculatethe mutual information in the model system, as the Kullback-Leibler divergencebetween the connected and disconnected status, through the probabilitydistribution of the electronic states from the master transition-rateequations. We reasonably demonstrate that the increase in the strength ofinteraction between the quantum dots leads to higher mutual information, owingto the larger divergence in the probability distributions of the electronicstates. Our model setup could be a useful basic tool for numerical analyses inthe field of integrated information theory.

Mutual Information in Coupled Double Quantum Dots: A Simple Analytic Model for Potential Artificial Consciousness