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Previous theoretical works showed that all pure two-qubit entangled statescan generate one bit of local randomness and can be self-tested through theviolation of proper Bell inequalities. We report an experiment in which nearlypure partially entangled states of photonic qubits are produced to investigatethese tasks in a practical scenario. We show that small deviations from theideal situation make low entangled states impractical to self-testing andrandomness generation using the available techniques. Our results show that inpractice lower entanglement implies lower randomness generation, recovering theintuition that maximally entangled states are better candidates fordeviceindependent quantum information processing.

Experimental investigation of partially entangled states for device-independent randomness generation and self-testing protocols