1 citations · 2 across the 8 of their papers we have counts for
9 papers
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…
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…
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…
On the Problem of Defining Charge Operators for the Dirac Quantum Field
Pablo Costa Rico, Roderich Tumulka
It is well known how to define the operator for the total charge (i.e., positron number minus electron number) on the standard Hilbert space of the second-quantized Dirac equat…
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…