 
Summary:
CATALYTIC MAJORIZATION AND `p NORMS
GUILLAUME AUBRUN AND ION NECHITA
Abstract.An important problem in quantum information theory is the mathem*
*atical character
ization of the phenomenon of quantum catalysis: when can the surrounding *
*entanglement be used
to perform transformations of a jointly held quantum state under LOCC (lo*
*cal operations and clas
sical communication) ? Mathematically, the question amounts to describe, *
*for a oxed vector y, the
set T(y) of vectors x such that we have x z y z for some z, where *
