Characterizing the Multipartite Entanglement Structure of Non-Gaussian Continuous-Variable States with a Single Evolution Operator

• URL: http://arxiv.org/abs/2408.12554v3
• Date: Thu, 19 Dec 2024 14:45:50 GMT
• Title: Characterizing the Multipartite Entanglement Structure of Non-Gaussian Continuous-Variable States with a Single Evolution Operator
• Authors: Mingsheng Tian, Xiaoting Gao, Boxuan Jing, Feng-Xiao Sun, Matteo Fadel, Manuel Gessner, Qiongyi He,
• Abstract summary: We introduce an efficient method for detecting multipartite entanglement structures in continuous-variable systems. We demonstrate the effectiveness of our method on over $105$ randomly generated multimode-entangled quantum states.
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• Abstract: Multipartite entanglement is an essential resource for quantum information tasks, but characterizing entanglement structures in continuous variable systems remains challenging, especially in multimode non-Gaussian scenarios. In this work, we introduce an efficient method for detecting multipartite entanglement structures in continuous-variable states. Based on the quantum Fisher information, we propose a systematic approach to identify an optimal encoding operator that can capture the quantum correlations in multimode non-Gaussian states. We demonstrate the effectiveness of our method on over $10^5$ randomly generated multimode-entangled quantum states, achieving a very high success rate in entanglement detection. Additionally, the robustness of our method can be considerably enhanced against losses by expanding the set of accessible operators. This work provides a general framework for characterizing entanglement structures in diverse continuous variable systems, enabling a number of experimentally relevant applications.

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