4 problems

Let $A$ be a symmetric matrix of order $n$ whose diagonal entries are zero and whose off-diagonal entries belong to $\\{\pm 1\\}$. Let $J_n$ be the all-ones matrix and $I_n$ the id…

Completely contractive data-processing conjecture for trace-norm conditional mutual information. If

General trace commutator conjecture. There exists a constant $c$, independent of $d$, such that

Let $A$ and $B$ be positive definite matrices satisfying $\operatorname{Tr}(A+B)=1$. Trace commutator conjecture. There exists a constant $c$, independent of the dimensions of $A$…