Researchers have developed a unified framework to detect Wigner function negativity in arbitrary quantum states. This negativity is a fundamental characteristic of nonclassical quantum resources that underpin quantum advantage. The new method relies on experimentally accessible moments of the Wigner function, which can be estimated from a modest number of state copies, thus avoiding the need for full phase-space tomography.

The framework introduces complementary hierarchies of negativity criteria, derived from $\mathcal{L}_p$-norm inequalities, log-convexity relations, and Hankel-matrix positivity. These criteria provide increasingly powerful witnesses of Wigner negativity. Furthermore, the methodology enables quantitative characterization of this negativity from a small number of experimentally accessible observables. The authors also establish an exact multicopy representation of all Wigner moments as expectation values of parity-based observables, offering a practical and scalable route for their experimental estimation.

The scheme's performance has been demonstrated through numerical simulations using randomized-measurement and classical-shadow protocols. The framework is versatile and extends to identifying other nonclassical resources, such as bipartite and multipartite entanglement. These results establish Wigner moments as a flexible tool for the scalable detection and quantification of nonclassical resources in continuous-variable quantum systems, with significant implications for the development of quantum technologies.