A Family of Local Deterministic Models for Singlet Quantum State Correlations

Abstract: This work investigates the implications of relaxing the measurement independence assumption in Bell's theorem by introducing a new class of local deterministic models that account for both particle preparation and measurement settings. Our model reproduces the quantum mechanical predictions under the assumption of relaxed measurement independence, demonstrating that the statistical independence of measurement settings does not necessarily preclude underlying correlations. Our findings highlight the nuanced relationship between local determinism and quantum mechanics, offering new insights into the nature of quantum correlations and hidden variables.