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FRI: Friday Contributed Sessions
FRI 7: Entanglement and Complexity: Contributed Session to Symposium III
FRI 7.3: Talk
Friday, September 12, 2025, 11:15–11:30, ZHG008
Revealing continuous-variable entanglement through derivatives of phase-space distributions — •Elena Callus1, Martin Gärttner1, and Tobias Haas2 — 1Institut für Festkörpertheorie und -optik, Friedrich-Schiller-Universität Jena — 2Institute of Theoretical Physics, Universität Ulm
The Peres--Horodecki, or positive partial transpose, criterion is a necessary condition for bipartite separability, and its violation is sufficient to certify the presence of entanglement. In this work, we explore the implication of this criterion on phase-space distributions of separable states. More specifically, we show that one can formulate separability criteria in terms correlations of phase-space distributions, together with their spatial derivatives, at arbitrary points in phase space. This approach complements work on certification of nonclassicality by means of such distributions [1]. We demonstrate the versatility of this approach by considering the relevance of low-ordered criteria in certifying entanglement in important classes of states. Finally, we also discuss possible experimental approaches in order to access these entanglement witnesses.
[1] M. Bohmann, E. Agudelo, and J. Sperling, ``Probing nonclassicality with matrices of phase-space distributions'', Quantum 4, 343 (2020).
Keywords: Continuous-variable entanglement; Phase-space distributions; Entanglement detection in bosonic systems