Dear friends,

On September 8th at 11:00 in D4.01 we'll have a guest seminar by Andrea Franzetti, who just completed a MSc. in Physics from the University of Pavia. Andrea will be telling us about quantifying magicness of ferminonic non-Gaussianity in the framework of Quantum Resource Theories, title and abstract below.

Best regards,
Will Schober

Title: Towards Fermionic Resource Theories of Computational Advantage

Abstract: "The stabilizer formalism relies on the Gottesman-Knill theorem: every quantum computer composed of Clifford unitaries and Pauli measurements is efficiently simulable by a classical computer. Non-stabilizerness, or magic, is the resource associated with the departure from this classically simulable regime, and is necessary for universal quantum computation. In this seminar, magic will be described within the framework of Quantum Resource Theories (QRTs), where stabilizer states are the free states and stabilizer operations (SO) are the free operations. We address the quantification of magic through suitable resource-measuring functions, called monotones. In particular, we will show that the 𝛼-Stabilizer Rényi Entropies fail to completely characterize magic in the single-shot regime. Additionaly, we will focus on non-classical simulability in fermionic systems, showing that the fermionic Gaussian simulability paradigm is intrinsically different from the stabilizer one. This motivates a QRT of fermionic non-Gaussianity, where fermionic Gaussian states and operations (FGO) are free. We will introduce a novel monotone, the entropy of non-Gaussianity, defined as the quantum relative entropy between a fermionic state and its Gaussianization, establishing its key properties."