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Self-Testing Positive Operator-Valued Measurements and Certifying Randomness

Self-Testing Positive Operator-Valued Measurements and Certifying Randomness

In the device-independent scenario, positive operator-valued measurements (POVMs) can certify more randomness than projective measurements. This paper self-tests a three-outcome extremal qubit POVM in the X-Z plane of the Bloch sphere by achieving the maximal quantum violation of a newly constructed Bell expression C'3, adapted from the chained inequality C3. …