We introduce a binary relation on the finite discrete probability distributions, which
generalizes notions of majorization that have been studied in quantum information theory …

An important problem in quantum information theory is the mathematical characterization of
the phenomenon of quantum catalysis: when can the surrounding entanglement be used to …

A bstract We discuss a generalized dominance ordering for irreducible representations of
the symmetric group S n with the aim of distinguishing the corresponding states in the 1/2 …

Given a pure state transformation ψ↦ ϕ restricted to entanglement-assisted local operations
with classical communication, we determine a lower bound for the dimension of a catalyst …

Motivated by the desire to better understand the class of quantum operations on bipartite
systems that completely preserve positivity of partial transpose (PPT operations) and its …

We study how iterated convolutions of probability measures compare under stochastic
domination. We give necessary and sufficient conditions for the existence of an integer n …

Many quantum information processing tasks require the consumption of various types of
informational resource. Entanglement is a well-studied example of this type of resource; …

Catalysis is very old but still an unsolved problem in chemistry and biochemistry, although
there exist a lot of experimental and theoretical publications on this topic. The term catalysis …

We investigate the relationship between two kinds of ground-state local convertibility and
quantum phase transitions in XY model. The local operations and classical communications …

Based on Ruch′ s concept of diagram lattices formed by Young diagrams we investigated
the possibility to transform incomparable diagrams into comparable ones by means of vector …