Interplay between local quantum randomness and non-local information access

Quantum randomness is considered to be potentially an important resource for information processing. Quantum randomness stems from quantum coherence, whose information-theoretic characterization is currently under investigation. In this work, we link the quantum randomness of a measurement with a particular notion of coherence. We show that the quantum randomness of a local measurement corresponds to the minimum amount of uncertainty about the outcome experienced by a correlated party. The relation between local quantum randomness and quantum correlations is discussed. We observe that the local quantum randomness on one party corresponds to the bits to be sent to a correlated receiver to unlock hidden data.

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