4 papers · 1 filter
Sharp continuity of quantum conditional entropy
Mario Berta, Pablo Costa Rico, Gereon Kossmann +2
We prove the sharp uniform continuity bound for quantum conditional entropy. If two bipartite states are at trace distance at most and , the optimal dimension-only m…
Fixed points in de Finetti hierarchies
Gereon Kossmann, Julius A. Zeiss
De Finetti theorems convert permutation symmetry into approximate mixtures of product states and thereby justify a wide range of reductions in classical and quantum statistics. In…
On approximate quantum error correction for symmetric noise
Gereon KoÃmann, Julius A. Zeiss, Omar Fawzi +1
We revisit the extendability-based semi-definite programming hierarchy introduced by Berta et al. [Mathematical Programming, 1 - 49 (2021)], which provides converging outer bounds…
Approximating fixed size quantum correlations in polynomial time
Julius A. Zeiss, Gereon KoÃmann, Gereon Koßmann +2
We show that -additive approximations of the optimal value of fixed-size two-player free games with fixed-dimensional entanglement assistance can be computed in time $…