Information Causality and Optimality Uniquely Determine Quantum Correlations

We show that quantum mechanics is the unique correlation theory that is both IC-admissible and maximally non-local. Among all rotationally covariant bipartite correlationkernels satisfying Information Causality (IC), the quantum correlation isthe unique maximizer of the CHSH value. This result requires two principles: (1)Information Causality, which constrains the feasible set of kernels to those with , and(2) an optimality criterion, which selects the extremal point. While these principles worktogether as a unified framework, optimality is formally a second assumption beyond IC.The proof combines the Eigenvector Protocol (which establishes that IC implies )with the Tsirelson uniqueness result. This provides a two-principle characterization ofquantum correlations grounded in physical constraints and extremality.