Magic in Matrix Product States and Fermionic Gaussian States
Guglielmo Lami (Cergy-Paris Université)
We will introduce the framework of quantum resource theories, which provide a systematic way to quantify and utilize resources in quantum systems. I will then focus on nonstabilizerness (aka quantum magic), a critical resource for achieving quantum advantage in computational tasks. Building on my recent results, I will explore how magic emerges in two physically relevant classes of states: Matrix Product States (MPS) and fermionic Gaussian states. For both, I will present numerical methods for quantifying magic, as measured by the Stabilizer Rényi Entropies, alongside analytical results that reveal its value for typical (random) realizations of these states.