of the supporting polytope by Klyachko and by Berenstein and Sjamaar, which made crucial use of non-Abelian features.

    In algebraic geometry, Duistermaat–Heckman measures correspond to the asymptotic distribution of multiplicities of irreducible representations in the associated coordinate ring. In the case of the one-body quantum marginal problem, these multiplicities include bounded height Kronecker and plethysm coefficients. A quantized version of the Abelianization procedure provides an efficient algorithm for their computation.
address:
- 'Matthias Christandl, Institute for Theoretical Physics, ETH Zürich, Wolfgang–Pauli–Strasse 27, CH-8093 Zürich, Switzerland'
- 'Brent Doran, Department of Mathematics, ETH Zürich, Rämistrasse 101, CH-8092 Zürich, Switzerland'
- 'Stavros Kousidis, Institute for Theoretical Physics, ETH Zürich, Wolfgang–Pauli–Strasse 27, CH-8093 Zürich, SwitzerlandInstitute of Physics, University of Freiburg, Rheinstrasse 10, 79104 Freiburg, Germany'
- 'Michael Walter, Institute for Theoretical Physics, ETH Zürich, Wolfgang–Pauli–Strasse 27, CH-8093 Zürich, Switzerland'
author:
- Matthias Christandl
- Brent Doran
- Stavros Kousidis
- Michael Walter
bibliography:
- 'dhmeasure.bib'
title: Eigenvalue Distributions of Reduced Density Matrices
---

Introduction
============

The pure state of a quantum system is described by a vector in a complex Hilbert space, or more precisely by a point in the corresponding projective space. Herein we consider the finite dimensional case, for instance a 