Simon Lin: Multipartite entanglement structure in random tensor networks and gravity

Wednesday Mar 26, 2025, 2:00 PM → 3:00 PM Europe/Paris

I will talk about the classification of multi-partite entanglement in random tensor networks (RTN) via multipartite contractions of density matrices. In particular I will focus on two such quantities: the reflected entropy/Markov gap, and the multi-entropy. I will demonstrate how the calculation of such quantities in RTN naturally corresponds to a combinatorial optimization problem, and thus allowing explicit calculation in the large $N$ limit. This in turn allows for interesting connections to minimal cut problems on the graph defined by the RTN via max-flow/min-cut theorem. Implications and applications on quantum gravity and holography will also be discussed.