4 papers
Exploring information geometry: Recent Advances and Connections to Topological Field Theory
Noémie C. Combe, Philippe G. Combe, Hanna K. Nencka
This introductory text arises from a lecture given in Göteborg, Sweden, given by the first author and is intended for undergraduate students, as well as for any mathematically incl…
On Multiquantum Bits, Segre Embeddings and Coxeter Chambers
Noémie C. Combe
This work explores the interplay between quantum information theory, algebraic geometry, and number theory, with a particular focus on multiqubit systems, their entanglement struct…
Maximum Likelihood, permutohedra and Associativity Equations
Noémie C. Combe
We consider the cone of concentration matrices related to linear concentration models and Wishart laws. We prove that this cone is a Monge--Ampère domain and that the log-likelihoo…
On the geometry of Kähler--Frobenius manifolds and their classification
Noémie. C. Combe
The purpose of this article is to show that flat compact Kähler manifolds exhibit the structure of a Frobenius manifold, a structure originating in 2D Topological Quantum Field The…