Applications
Because the Segre map is to the categorical product of projective spaces, it is a natural mapping for describing entangled states in quantum mechanics and quantum information theory. More precisely, the Segre map describes how to take products of projective Hilbert spaces.
In algebraic statistics, Segre varieties correspond to independence models.
The Segre embedding of P2×P2 in P8 is the only Severi variety of dimension 4.
Read more about this topic: Segre Embedding