Understanding the quantum marginals, or reduced density matrices (RDMs), of multipartite quantum states is a fundamental theme in quantum information theory. Recent work has built on tools from convex analysis and random matrix theory as well as on the link to algebraic and symplectic geometry and asymptotic representation theory. In this workshop, we aim to bring together mathematicians, physicists and computer scientists to discuss recent developments, communicate open problems as well as to identify new directions for the future study of quantum marginals:
- The quantum marginal problem/N-representability problem in quantum chemistry and mathematical physics
- The study of entropies and entropy inequalities, entanglement and correlations of multipartite quantum states in quantum information theory
- Mathematical aspects: geometry, representation theory and complexity theory
Invited speakers will include:
- Aubrun, G, (Université Claude Bernard Lyon 1), France
- Bürgisser, P, (Universität Paderborn), Germany
- Carlen, E, (Rutgers, The State University of New Jersey), USA
- Collins, B, (University of Ottawa), Canada
- Doran, B, (ETH Zürich), Switzerland
- Duff, M, (Imperial College London), United Kingdom
- Gisin, N, (Université de Genève), Switzerland
- Gross, D, (Universität Freiburg ), Germany
- Klyachko, A, (Bilkent University), Turkey
- Knutson, A, (Cornell University), USA
- Landsberg, J, (Texas A&M University ), USA
- Lieb, E, (Princeton University), USA
- Matus, F, (Academy of Sciences of the Czech Republic), Czech Republic
- Mulmuley, K, (University of Chicago), USA
- Nakata, M, (RIKEN), Japan
- Ressayre, N, (Université Montpellier 2), France
- Ruskai, MB, (Tufts University), USA
- Schilling, C, (ETH Zürich), Switzerland
- Solovej, JP, (University of Copenhagen), Denmark
- Szarek, SJ, (Case Western Reserve University), USA
- Vergne, M, (Institut de Mathématiques de Jussieu), France
- Verstraete, F, (Universität Wien), Austria
- Vinet, L, (Université de Montréal), Canada
