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.
3
questions with no upvoted or accepted answers
1
vote
0
answers
21
views
Which quantum entropies are meaningful with respect to continuous distributions of states?
When using a quantum channel to transmit classical information, we consider an ensemble $\mathcal{E} = \{(\rho_x, p(x))\}$ consisting of states $\rho_x$ labelled with a symbol $x$ from a finite ...
- 6,123
1
vote
0
answers
42
views
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 \...
- 469
1
vote
0
answers
62
views
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|\...
- 469