Cumulant Structures of Entanglement Entropy

We will discuss new methods to, in principle, obtain all
cumulants of van Neumann entropy over different models of
random states. The new methods uncover the structures of
cumulants in terms of lower-order joint cumulants involving
families of ancillary linear statistics. Importantly, the new
methods avoid the task of simplifying nested summations
when using existing methods in the literature that becomes
prohibitively tedious as the order of cumulant increases.
This talk is based on an ongoing joint work with Youyi Huang.