6 papers
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…
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…
Instantaneous Sobolev Regularization for Dissipative Bosonic Dynamics
Pablo Costa Rico, Paul Gondolf, Tim Möbus
We investigate quantum Markov semigroups on bosonic Fock space and identify a broad class of infinite-dimensional dissipative evolutions that exhibit instantaneous Sobolev-regulari…
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…
New Partial Trace Inequalities and Distillability of Werner States
Pablo Costa Rico
One of the oldest problems in quantum information theory is to study if there exists a state with negative partial transpose which is undistillable. This problem has been open for…
Belavkin-Staszewski Quantum Markov Chains
Andreas Bluhm, Ãngela 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…