  The study of Opinion Dynamics, which explores how individual opinions and
beliefs evolve and how societal consensus is formed, has been examined across
social science, physics, and mathematics. Historically based on statistical
physics models like the Ising model, recent research integrates quantum
information theory concepts, such as Graph States, Stabilizer States, and Toric
Codes. These quantum approaches offer fresh perspectives for analyzing complex
relationships and interactions in opinion formation, such as modeling local
interactions, using topological features for error resistance, and applying
quantum mechanics for deeper insights into opinion polarization and
entanglement. However, these applications face challenges in complexity,
interpretation, and empirical validation. Quantum concepts are abstract and not
easily translated into social science contexts, and direct observation of
social opinion processes differs significantly from quantum experiments,
leading to a gap between theoretical models and real-world applicability.
Despite its potential, the practical use of the Toric Code Hamiltonian in
Opinion Dynamics requires further exploration and research.
