aiqbench analysis

A new mathematical proof overturns the established hierarchy between real and complex quantum theories by demonstrating that real quantum theory can generate process correlations impossible for complex theory when causal order is indefinite. This reversal, evidenced by exceeding the LGYNI causal inequality in finite-dimensional systems, highlights a fundamental dichotomy where real quantum theory uniquely enables new causal connections under indefinite causality. The finding suggests that symmetry constraints and the absence of reference frames play a critical role in unlocking capabilities previously attributed solely to complex amplitudes.