Universal Theory of Magic in Quantum Many-body systems

Published in arXiv preprint, 2026

Introduced the Scrooge ensemble, constructed from Haar-random states distorted by a thermal operator, and numerically demonstrated that its magic (filtered stabilizer entropy) accurately matches that of finite-temperature eigenstates in quantum chaotic systems[cite: 4]. Derived analytical formulae for the magic of the Scrooge ensemble for inverse temperatures β, using Weingarten calculus, in strong agreement with numerical data[cite: 4].