Tensors and Entanglement - Asymptotic Entanglement Transformations - Lecture 1

Explore the intricacies of tensors and entanglement in quantum information theory through this 51-minute lecture by Péter Vrana. Delve into the characterization of transformations of pure multipartite entangled states in the asymptotic limit of many independent copies. Examine three variants of the problem: reaching the target state exactly with small probability, exact transformation with exponentially decreasing success probability, and approximate transformation with high probability. Discover how these scenarios relate to the asymptotic restriction preorder of tensors and the asymptotic spectrum. Gain insights into monotone quantities, results, and conjectures in this field. Learn about LCCC protocols, special features of tensors, and simplified models to understand complex quantum phenomena.

Introduction
Outline
Recap
Tensors
Special features
LCCC protocol
Definitions
asymptotic regimes
Asymptotic spectrum
Related problems
Examples
Blowup
Simplified picture