Speaker
Stefano Mancini
Description
Abstract:
We aim to show that algebraic geometry provides a powerful and natural framework for exploring diverse aspects of entanglement. By employing tools such as secant varieties and multilinear ranks, we obtain a detailed classification of entanglement under stochastic local operations and classical communication in multipartite systems.
In addition, we advocate the use of embeddings—from Veronese to Segre–Veronese—to construct relevant entanglement subspaces within the Hilbert space of a multipartite system.