Smooth min-entropy lower bounds for approximation chains

Ashutosh Marwah, Frédéric Dupuis

For a state ${\rho }_{A_1^{n}B}$, we call a sequence of states $({\sigma }_{A_1^{k}B}^{(k)}{)}_{k=1}^n$ an approximation chain if for every $1\le k\le n$, $ρ_{A_1^k B} \approx_εσ_{A_1^k B}^{(k)}…