During my visit of Prof. Jan-Philip Solovej and the QMath people in Copenhagen, I gave a talk at the Quantum Lunch seminar presenting some applications of the orthogonalization of fermion k-body operators.

Abstract

The N-representability problem is a long-standing open problem in quantum chemistry and has regained attention by groundbreaking results on the more general quantum marginal problem of quantum information theory over the last two decades. In this talk, we briefly review general representability problems for finite-dimensional fermion systems from a geometric viewpoint. The central object of interest is the k-body reduction of the fermion many-particle state. Based on recent results on the orthogonalization of fermion k-body operators, we will present new relations between the k-body reduction and the traditional reduced density matrices.

Material

Beamer slides as PDF and LaTeX code.