6 citations · 33 across the 14 of their papers we have counts for
15 papers
Generalised Brègman relative entropies: a brief introduction
Ryszard Paweł Kostecki
We present some basic elements of the theory of generalised Brègman relative entropies over nonreflexive Banach spaces. Using nonlinear embeddings of Banach spaces together with th…
Upper bounds on the leakage of private data and operational approach to markovianity
Karol Horodecki, Michał Studziński, Ryszard P. Kostecki +2
We quantify the consequences of a private key leakage and private randomness generated during quantum key distribution. We provide simple lower bounds on the one-way distillable ke…
Categories of Brègman operations and epistemic (co)monads
Ryszard Paweł Kostecki
We construct a categorical framework for nonlinear postquantum inference, with embeddings of convex closed sets of suitable reflexive Banach spaces as objects and pullbacks of Brèg…
Equivalence of tensor products over a category of W*-algebras
Ryszard Paweł Kostecki, Tomasz Ignacy Tylec
We prove the equivalence of two tensor products over a category of W*-algebras with normal (not necessarily unital) *-homomorphisms, defined by Guichardet and Dauns, respectively.…
Local quantum information dynamics
Ryszard Paweł Kostecki
In this paper we: 1) show how the smooth geometry of spaces of normal quantum states over W*-algebras (generalised spaces of density matrices) may be used to substantially enrich t…
Noncommutative Orlicz spaces over W*-algebras
Ryszard Paweł Kostecki
Using the Falcone--Takesaki theory of noncommutative integration and Kosaki's canonical representation, we construct a family of noncommutative Orlicz spaces that are associated to…