Semi-Device-Independent Framework Based on Restricted Distrust in Prepare-and-Measure Experiments

A semi-device-independent framework for prepare-and-measure experiments is introduced in which an experimenter can tune the degree of distrust in the performance of the quantum devices. In this framework, a receiver operates an uncharacterized measurement device and a sender operates a preparation device that emits states with a bounded fidelity with respect to a set of target states. No assumption on Hilbert space dimension is required. The set of quantum correlations is investigated and bounded from both the interior and the exterior. Furthermore, the optimal performance of quantum state discrimination with bounded distrust is derived and applied to certification of detection efficiency. Quantum-over-classical advantages are demonstrated and the magnitude of distrust compatible with such advantages is explored. Finally, efficient schemes for semi-device-independent random number generation are developed.

Automated summary

The framework allows experimenters to adjust the level of distrust in the performance of quantum devices without assuming any specific Hilbert space dimension. Quantum correlations are investigated and bounded from both interior and exterior. Efficient schemes for semi-device-independent random number generation are developed.