"Enough" Wigner negativity implies genuine multipartite entanglement

• URL: http://arxiv.org/abs/2510.26761v1
• Date: Thu, 30 Oct 2025 17:50:26 GMT
• Title: "Enough" Wigner negativity implies genuine multipartite entanglement
• Authors: Lin Htoo Zaw, Jiajie Guo, Qiongyi He, Matteo Fadel, Shuheng Liu,
• Abstract summary: Wigner negativity and genuine multipartite entanglement (GME) are key nonclassical resources.<n>We prove two theorems for multimode continuous-variable systems.
• Score: 2.7961972519572442
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Wigner negativity and genuine multipartite entanglement (GME) are key nonclassical resources that enable computational advantages and broader quantum-information tasks. In this work, we prove two theorems for multimode continuous-variable systems that relate these nonclassical resources. Both theorems show that "enough" Wigner negativity -- either a large-enough Wigner negativity volume along a suitably-chosen two-dimensional slice, or a large-enough nonclassicality depth of the centre-of-mass of a system -- certifies the presence of GME. Moreover, violations of the latter inequality provide lower bounds of the trace distance to the set of non-GME states. Our results also provide sufficient conditions for generating GME by interfering a state with the vacuum through a multiport interferometer, complementing long-known necessary conditions. Beyond these fundamental connections, our methods have practical advantages for systems with native phase-space measurements: they require only measuring the Wigner function over a finite region, or measuring a finite number of characteristic function points. Such measurements are frequently performed with readouts common in circuit/cavity quantum electrodynamic systems, trapped ions and atoms, and circuit quantum acoustodynamic systems. As such, our GME criteria are readily implementable in these platforms.

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