On the Dimension of Tensor Network Varieties

Explore the mathematical concepts of Tensor Network Varieties in this 44-minute lecture by Alessandra Bernardi from the Centre de recherches mathématiques (CRM). Delve into upper bounds of Tensor Network varieties, examining cases where these bounds are achieved and investigating exceptional scenarios. Gain insights into quantum information, complexity, and quantum combinatorics as part of the Workshop on Tensors. Presented during the November 25 session of the two-week workshop, this talk offers a deep dive into advanced mathematical concepts relevant to quantum physics and information theory.

Alessandra Bernardi: On the dimension of Tensor Network Varieties