Lorenzo Leone, Lennart Bittel (Apr 19 2024).
Abstract: We establish the monotonicity of stabilizer entropies for $\alpha\geq 2$ within the context of magic-state resource theory restricted to pure states. Additionally, we show that linear stabilizer entropies serve as strong monotones. Furthermore, we provide the extension to mixed states of stabilizer entropies as magic monotones through convex roof constructions.