This mini-paper presents a quantum circuit analysis of real weak lensing shear data from the Dark Energy Survey (DES) under the Relativity of Information and Geometric Principles framework. Real weak lensing shear profiles (a key observational signature commonly attributed to dark matter) were encoded into a 4-qubit O’Reilly Observer circuit. Regions of higher shear strength (higher inferred mass density) produced systematically lower Shannon entropy, indicating stronger O’Reilly Effect collapse. The results show a clear anti-correlation between lensing shear and circuit entropy, supporting the hypothesis that “dark matter” phenomena may correspond to regions of enhanced informational ordering rather than unseen particles. This provides an independent observational channel consistent with previous strong lensing simulations (Bullet Cluster and SDSS J1206+4332) and galaxy rotation curve studies. Keywords: weak gravitational lensing, O’Reilly Effect, dark matter, informational gravity, DES survey, quantum circuits, Relativity of Information Included files: • Main paper (PDF) • Python analysis script • Key result figure (DES shear profile vs. O’Reilly Effect entropy) This work is part of an ongoing series exploring the connection between quantum informational geometry and macroscopic gravitational phenomena.