2025/10/30 by Lin Htoo Zaw, Anonymous, Zaw, Lin Htoo +8 · 1 voice · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Mathematical and Theoretical Analysis #Multipartite #Multipartite entanglement #Negativity effect #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Squashed entanglement #Wigner distribution function #quant-ph
paper · pdf · doi:10.1103/bftw-qnbf
published in Physical Review Letters 137(4) (American Physical Society)
arxiv published 2025/10/30 · openalex publication_date 2026/06/08 · openalex created_date 2026/06/09 · arxiv updated 2026/07/24 · openalex updated_date 2026/07/29
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 sufficient Wigner negativity-either a sufficiently-large Wigner negativity volume along a suitably-chosen two-dimensional slice, or a sufficiently-large nonclassicality depth of the center-of-mass mode 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 and cavity quantum electrodynamic systems, trapped ions and atoms, and circuit quantum acoustodynamic systems. As such, our GME criteria are readily implementable in these platforms.