Murnaghan-Nakayama
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IntegrateUnitary.jl: A Julia package for symbolic integration over Haar measures
arXiv:2605.23830v2 Announce Type: replace-cross Abstract: Symbolic integration over the Haar measure of compact groups is a computational cornerstone in quantum information science and random matrix theory. We present \texttt{IntegrateUnitary.jl}, a comprehensive Julia package for computing exact expectations of polynomial functions over a wide range of compact groups ($U(d)$, $O(d)$, $Sp(d)$, and $SU(d)$ for balanced polynomials), circular and Gaussian ensembles, Ginibre ensembles,...