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I discuss quantitative bounds to the amount of classical and quantum correlations which can be shared between a quantum system and a network of independent observers that monitor the system environment. As a result, the amount of quantum information that an observer can extract about a quantum system from monitoring a small environment fragment is almost zero, while the classical information is inevitably almost maximal. I discuss the result in the context of the Quantum Darwinism program. Then, I show how such monogamy relations can be verified without performing hard numerical optimizations, by recasting them in terms of the conditional mutual information. Host: Marco Cerezo |