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

Abstract

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.

10 pages, 6 figures

References in corpus (20)

• Estimating Mutual Information
• Information heat engine: converting information to energy by feedback control
• Area laws in quantum systems: mutual information and correlations
• The thermodynamic meaning of negative entropy
• Three-Terminal Energy Harvester with Coupled Quantum Dots
• Thermodynamics of a physical model implementing a Maxwell demon
• Thermodynamics with continuous information flow
• Quantum engine efficiency bound beyond the second law of thermodynamics
• Stochastic thermodynamics of bipartite systems: transfer entropy inequalities and a Maxwell's demon interpretation
• Thermodynamic Reversibility in Feedback Processes
• Stochastic thermodynamics for "Maxwell demon" feedbacks
• Probing the power of an electronic Maxwell Demon
• Absorption refrigerators based on Coulomb-coupled single-electron systems
• Rate of mutual information between coarse-grained non-Markovian variables
• Linear Irreversible Thermodynamics and Onsager Reciprocity for Information-driven Engines
• A low-dimensional detector model for full counting statistics: Trajectories, Back-Action, and Fidelity
• Thermodynamics of information exchange between two coupled quantum dots
• Critical scaling of the mutual information in two-dimensional disordered Ising models
• Coupled-Double-Quantum-Dot Environmental Information Engines: A Numerical Analysis
• Mutual Information as a Two-Point Correlation Function in Stochastic Lattice Models