arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2006.16243quant-phcond-mat.stat-mechcs.ETq-bio.NC
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耦合双量子点中的互信息:潜在人工意识的简单解析模型

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

Department of Chemical Engineering, Kyoto University(京都大学化学工程系)

Katsuaki Tanabe

AI总结:

本研究提出耦合双量子点模型,通过计算互信息作为整合信息度量,证明量子点间相互作用增强可提高互信息,为人工意识研究提供基础工具。

摘要:

整合信息理论被认为是理论理解意识的关键线索。在本研究中,我们提出了一个包含一组耦合双量子点的简单数值模型,其中元素间的断连通过移除量子点之间的库仑相互作用来表示,用于定量研究整合信息。作为整合信息的度量,我们通过主跃迁速率方程得到的电子态概率分布,计算了模型系统中的互信息,即连接状态与断连状态之间的库仑-莱布勒散度。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,这归因于电子态概率分布的更大散度。我们的模型设置可作为整合信息理论领域数值分析的有用基础工具。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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