3 problems

Let $(X,Y)$ be a doubly symmetric binary source $\operatorname{DSBS}(\epsilon)$, with crossover probability $\epsilon$, and let $\epsilon_0\approx 0.05510465170298144$ be the numer…

Let $X_1,X_2$ be binary random variables with quantum side information $B_1,B_2$, and let $\tau$ denote the product construction in which the output is $X_1+X_2$. Write…

Let $X_1,X_2$ be binary random variables with quantum side information $B_1,B_2$, let $\rho_1,\rho_2$ denote their respective classical–quantum states, and let $X_1+X_2$ be their s…