Quantum Correlation Efficiency: Tsirelson's Bound from Čencov's Uniqueness Theorem via the Explaining-Away Penalty

Key Points

• The research aims to derive Tsirelson's bound using Čencov's uniqueness theorem and correlate it with quantum efficiency.
• Derivation of Tsirelson's bound from Čencov's uniqueness theorem
• Analysis of quantum correlation efficiency using explaining-away penalty
• Computational experiments across various Bell scenarios (N=2–8)
• Quantum efficiency advantage diverges as N^2.54
• R²=0.9997 indicates high correlation in computational results
• Establishes the quantum set as the unique efficiency frontier of information geometry