Quantum Random Access Codes: Locas Vs. Global strategies, limits in D=d²
This thesis investigates local encoding strategies in a 2 → 1 Quantum Random Access Code (QRAC), focusing on their performance and limitations compared with global quantum strategies. The theoretical framework is based on numerical optimization using Semidefinite Programming (SDP), as developed in the underlying work. For D = 4, numerical optimization reveals that the optimal local encoding strategy is characterized by mutually unbiased bases composed entirely of separable states, whereas for dimensions D = d² with d ≥ 6, local strategies fall below the classical success-probability benchmark. Building on this theoretical framework, the thesis investigates the experimental implementation of local QRAC strategies using photonic polarization qubits. The experimental results are compared with theoretical predictions to evaluate the performance of local encoding strategies.