Analyzing the Emotional Structure of Paintings with Quantum Entanglement Theory : focusing on the works of Vincent Van Gogh

This study analyzes the emotional structure in Van Gogh's paintings through the lens of information and quantum entanglement theory. Color, brushstroke, and composition are defined as core affective elements, from which entropy-based features are extracted to form emotion vectors. These vectors are mapped onto 3-qubit quantum states, and von Neumann entropy and negativity are used to quantify entanglement. GHZ/W state fidelity analysis evaluates the holistic or fragmented nature of emotion. Results show increasing color-brush entanglement and decreasing color-composition entanglement over time, indicating a strategic restructuring of affective expression. Cluster centers exhibited high GHZ fidelity and zero W fidelity, suggesting a unified emotional structure. This research introduces a novel quantum entanglement-based framework for modeling and quantifying emotional complexity in visual art.