Questions tagged [min-entropy]

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.

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Understanding conditional $L_2$ distances

I see that conditional $L_2$ distances from uniform are defined in the following way: $L_2(\rho_{AB}\vert \sigma_B)= \text{tr}\left(((\rho_{AB}- \mu_{A} \otimes \rho_{B}) (\mathbb{I}_A \otimes \...
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Entropy relations in classical-quantum states with conditioned independence

Consider a classical-quantum (pure) state $\rho_{AEBC}$ where $A,C$ are classical registers. Suppose $\rho$ can be written in the following form: $$\rho = \sum_{c} \alpha_c \vert c\rangle\langle c|\...
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