86 citations · 730 across the 48 of their papers we have counts for
54 papers
Sufficient positive maps between von Neumann algebras: Rényi divergences
Anna Jenčová, Lauritz van Luijk
We prove recovery theorems for - Rényi divergences under normal unital positive maps between von Neumann algebras. Previous results in this setting required 2-positivity, whi…
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 structure of higher order quantum maps
Anna Jenčová
We study higher order quantum maps in the context of a *-autonomous category of affine subspaces. We show that types of higher order maps can be identified with certain Boolean fun…
Spectrality in convex sequential effect algebras
Anna Jenčová, Sylvia Pulmannová
For convex and sequential effect algebras, we study spectrality in the sense of Foulis. We show that under additional conditions (strong archimedeanity, closedness in norm and a ce…
Recoverability of quantum channels via hypothesis testing
Anna Jenčová
A quantum channel is sufficient with respect to a set of input states if it can be reversed on this set. In the approximate version, the input states can be recovered within an err…
The exponential Orlicz space in quantum information geometry
Anna Jenčová
We review the construction of a quantum version of the exponential statistical manifold over the set of all faithful normal positive functionals on a von Neumann algebra. The const…