Social Stochastic Dynamics and Quantum Theory

Christian Aspalter

Badredine Arfi

John R. Klauder

Yasuko Kawahata

We apply the concepts of classical and quantum channels to the modeling of opinion dynamics and propose a stochastic method for representing the temporal variation of individual and group opinions. In particular, we use quantum Galois noise channels to couple quantum information theory with social interaction to construct a new model of opinion dynamics that accounts for error rates and noise effects. This model captures more complex opinion propagation and interaction by incorporating the concepts of partial traces and entanglement. We also consider the role of superspreaders in the propagation of noisy information and their suppression mechanisms, and represent these dynamics in a mathematical model. We model the influence of superspreaders on interactions between individuals using unitary transformations and propose a new approach to measure social trustworthiness. In addition, we elaborate on the modeling of opinion propagation and suppression using Holevo channels. These models provide a new framework for a better understanding of social interactions and expand the potential applications of quantum information theory.

Sheldon Goldstein