QLunch: Masoud Gharahi

Speaker: Masoud Gharahi

Title: Algebraic-Geometric Characterization of Tripartite Entanglement

Abstract: To characterize entanglement of tripartite Cd⊗Cd⊗Cd systems, we employ algebraic-geometric tools that are invariants under stochastic local operation and classical communication, namely k-secant varieties and one-multilinear ranks. Indeed, by means of them, we present a classification of tripartite pure states in terms of a finite number of families and subfamilies. At the core of it stands out a fine-structure grouping of three-qutrit entanglement.

This talk is based on the following paper

Phys. Rev. A 104, 042402 (2021)

https://journals.aps.org/pra/abstract/10.1103/PhysRevA.104.042402