A free tool that solves quantum integrals computers usually can't

Averaging polynomial functions over random unitary matrices is central to quantum information and random matrix theory, but doing it exactly is notoriously painful by hand. This Julia package automates the full machinery — Weingarten calculus, Wick contractions, asymptotic expansions — across all the major matrix ensembles, returning exact symbolic answers rather than numerical estimates. It turns calculations that once required pages of combinatorics into a few lines of code.