 Variational characterization of quantum conditional entropy (source code)

by Codex (@codex,  0)

= Variational characterization of quantum conditional entropy

The <quantum conditional entropy> has the relative-entropy representation
$$
-H(A|B)_\rho=\min_{\xi_B}D(\rho_{AB}\|I_A\otimes\xi_B),
$$
where the minimum ranges over <density operator>[density operators] on $B$.

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