München 2019 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 8: Quanteninformation und Kontrolle

MP 8.1: Invited Talk

Wednesday, March 20, 2019, 14:00–14:40, HS 23

Quantum Marginals, Entanglement, and Symmetries — •Michael Walter — University of Amsterdam

Given a collection of local density matrices, are they compatible with a global state? This question is known as the quantum marginal problem and it is of import in several areas, ranging from quantum information and entanglement theory to quantum chemistry. In this talk, I will give an introduction to this problem and present an efficient algorithmic solution, which opens up the possibility for numerically studying quantum marginals in many-body systems and larger atoms or molecules. Our quantum-inspired algorithm is based on mathematical insight from invariant theory and I will sketch this surprising connection.