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Efficient detection of genuine multipartite entanglement using moments of positive maps (2506.00162v1)
Published 30 May 2025 in quant-ph
Abstract: Genuine multipartite entanglement (GME) represents the strongest form of entanglement in multipartite systems, providing significant advantages in various quantum information processing tasks. In this work, we propose an efficient and experimentally feasible scheme for detecting GME, based on the truncated moments of positive maps. Our method avoids the need for full state tomography, making it scalable for larger systems. We provide illustrative examples of both pure and mixed states to demonstrate the efficacy of our formalism in detecting inequivalent classes of tripartite genuine entanglement. Finally, we present a proposal for realising these moments in real experiments.