Information Coordination Analysis of Quantum Measurement Outcomes: A Simulation Study

We explore whether quantum entanglement might be detectable through information-theoretic coordination patterns in measurement outcomes alone, without requiringquantum states, density matrices, or Hilbert space structure. Using Local DivergenceIntensity (LDI), a universal measure of symbolic sequence decorrelation [6], we ana-lyze three types of simulated quantum measurements: (1) Bell states (simulated per-fect correlation), (2) product states (simulated independence), and (3) quantum walks(simulated structured dynamics).In simplified probabilistic simulations that approximate expected quantum mea-surement statistics, we observe 95% separation between correlated and independentbitstrings (∆Φ = 0.953) with 2% added noise. The framework operates on discrete bi-nary sequences and reveals different scale-dependence patterns for different correlationtypes.This conceptual study suggests LDI analysis of measurement sequences could po-tentially complement traditional quantum information measures, but experimental val-idation on real quantum hardware is required before any claims about detecting actualquantum entanglement can be made.