Johann Chevrier: A bridge between trace-invariants and multipartite entanglement

mercredi 17 juin 2026, 14:00 → 15:00 Europe/Paris

This talk explores the connection between trace invariants - described via colored graphs - and multipartite entanglement. After a brief review of the bipartite case, where the landscape is well understood, I will focus on the multipartite scenario. I will demonstrate that trace invariants play a crucial role in classifying multipartite entangled states, particularly in the context of local unitary transformations and local operations. 

By examining specific states, I will make the link between combinatorial properties and multipartite entanglement more explicit. This will provide insights into well-known combinatorial quantities, such as the Gurau degree and genus, while also introducing new quantities, like the p-complete degree.

Time permitting, I will discuss the relationship between the average of multipartite entropies and the large N factorization. Specifically, I will present the first counterexample of large N factorization for complex Gaussian random tensors and outline conditions under which large N factorization holds.