6 papers · 1 filter
Information Geometry of the Geodesic Quantum -Divergences
Ángela Capel, Pablo Costa Rico
We study the differential, statistical, and geometrical consequences generated by the geodesic quantum -divergences introduced in [14], which are constructed by interpolating th…
Geodesic Quantum -Divergences
Ángela Capel, Pablo Costa Rico
We introduce the geodesic quantum -divergences , , obtained from the affine-invariant geodesic between the standard and maximal relative modular operators.…
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 mo…
Sharp Inequalities for Schur-Convex Functionals of Partial Traces over Unitary Orbits
Pablo Costa Rico, Pavel Shteyner
While many bounds have been proved for partial trace inequalities over the last decades for a large variety of quantities, recent problems in quantum information theory demand shar…
Partial trace relations beyond normal matrices
Pablo Costa Rico, Michael M. Wolf
We investigate the relationship between partial traces and their dilations for general complex matrices, focusing on two main aspects: the existence of (joint) dilations and norm i…
Belavkin-Staszewski Quantum Markov Chains
Andreas Bluhm, Ángela Capel, Pablo Costa Rico +1
It is well-known that the conditional mutual information of a quantum state is zero if, and only if, the quantum state is a quantum Markov chain. Replacing the Umegaki relative ent…