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The smallest of the Rényi family of entropies, corresponding to the most conservative way of measuring the unpredictability of a set of outcomes, as the negative logarithm of the probability of the most likely outcome.
7
votes
How does the conditional min-entropy $H_{\rm min}(A|B)_\rho$ relate to the conditional entro...
The conditional min-entropy $\text{H}_{\text{min}}(A | B)_{\rho}$ can be defined for an arbitrary state $\rho$ of a pair of registers $(A,B)$ as
$$
- \inf_{\sigma} \,\text{D}_{\text{max}}(\rho \| \mat …