3 problems

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Winter–Wilde continuity conjecture for conditional entropy
Let $\rho_1$ and $\rho_2$ be quantum states on a bipartite system $A B$ whose marginals on $B$ need not be identical. Let $d_A$ be the dimension of system $A$ , let $S(A|B)_\rho$ de…
Conjectureopencontinuity-bounds quantum-entropy quantum-informationarXiv posted 2 days ago
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Christandl–Ferrara–Lancien continuity conjecture for filtered relative entropy
Christandl–Ferrara–Lancien's conjecture. There should exist a universal constant $\kappa$ and a function $g:[0,1]\to\mathbb{R}_+$ with
Conjectureopencontinuity-bounds quantum-information relative-entropyarXiv posted 2 days ago
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Wilde's fully quantum conditional-entropy continuity conjecture
Wilde's conjecture. The conditional entropies should obey
Conjectureopenconditional-entropy continuity-bounds quantum-informationarXiv posted 2 days ago

Winter–Wilde continuity conjecture for conditional entropy