  Toward an improved understanding of the role of quantum information in nuclei
and exotic matter, we examine the magic (non-stabilizerness) in low-energy
strong interaction processes. As stabilizer states can be prepared efficiently
using classical computers, and include classes of entangled states, it is magic
and fluctuations in magic, along with entanglement, that determine resource
requirements for quantum simulations. As a measure of fluctuations in magic
induced by scattering, the "magic power" of the S-matrix is introduced. Using
experimentally-determined scattering phase shifts and mixing parameters, the
magic power in nucleon-nucleon and hyperon-nucleon scattering, along with the
magic in the deuteron, are found to exhibit interesting features. The
$\Sigma^-$-baryon is identified as a potential candidate catalyst for enhanced
spreading of magic and entanglement in dense matter, depending on in-medium
decoherence.
