Bonn 2025 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 63: Poster – Quantum Information (joint session QI/Q)

Q 63.27: Poster

Thursday, March 13, 2025, 17:00–19:00, Tent

Wigner Negativity and Nonclassicality — •Michael E. N. Tschaffon and Matthias Freyberger — Institut für Quantenphysik and Center for Integrated Quantum Science and Technology (IQST), Universität Ulm, Albert-Einstein-Allee 11, D-89069 Ulm, Germany

The Wigner function is a well-established tool in quantum physics to study quantum states in phase space. It serves as a quantum analogue of a classical probability distribution. However, in contrast to its classical counterpart it can obtain negative values, which are thus naturally associated with nonclassical features, that is, nonclassicality, of the underlying quantum state. The relation between these negative values, i.e., Wigner negativity, and nonclassicality is quantitatively not well understood. For this purpose, we examine Wigner negativity for bipartite states. We show that, using Bell inequalities with a pseudo spin, nonclassical correlations are monotonically related to Wigner negativity. In particular, we separate the part of Wigner negativity contributing to nonclassical correlations from the one already present in single particle nonclassicality. As a consequence, we find that Wigner negativity is not sufficient to have nonclassical correlations.

Keywords: Wigner Function; Nonclassicality; Wigner Negativity; Inseparability; Bell Inequality