Ten Years of the Positive P-Representation

CW Gardiner, Alexei Gilchrist, P. D. Drummond

Hong-Yi Fan, Min Xiao

Peter Leyland

Dariusz Chruściński

We provide the continuation of an analysis of a class of positive maps proposed ten years ago by Kossakowski. In particular, we propose a new parametrization which reveals an elegant geometric structure and an interesting interplay between group theory and a certain class of positive maps.

Alexander A. Klyachko

A fermionic version of the quantum marginal problem was known from the early sixties as N-representability problem . In 1995 it was mentioned by the National Research Council of the USA as one of ten most prominent research challenges in quantum chemistry. In spite of this recognition the progress was very slow, until a couple of years ago the problem came into focus again, now in the framework of quantum information theory. In the paper I give a survey of the recent development.