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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…