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<p>Understanding the quantitative relation between entanglement and Bell nonlocality is a long-standing open problem of fundamental and practical interest. Here, we tackle this problem in a general Bell scenario. We observe that lying in the center of quantifying these properties are two minimal distances: one from a state to separable states (entanglement), and the other from a correlation to local correlations (nonlocality). We find that these two distances can be related to each other—the minimal correlation distance provides a lower bound for the minimal state distance, which allows us to derive nontrivial bounds on many entanglement measures with an arbitrary nonlocal correlation. Moreover, with the on-hand structural knowledge of entanglement and nonlocality in the (<i>n</i>, 2, 2) Bell scenario, we refine our estimate significantly.</p>

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Lower-bounding entanglement in a general Bell scenario

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月15日

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  • Liang-Liang Sun,
  • Xiang Zhou,
  • Zhen-Peng Xu,
  • Sixia Yu

摘要

Understanding the quantitative relation between entanglement and Bell nonlocality is a long-standing open problem of fundamental and practical interest. Here, we tackle this problem in a general Bell scenario. We observe that lying in the center of quantifying these properties are two minimal distances: one from a state to separable states (entanglement), and the other from a correlation to local correlations (nonlocality). We find that these two distances can be related to each other—the minimal correlation distance provides a lower bound for the minimal state distance, which allows us to derive nontrivial bounds on many entanglement measures with an arbitrary nonlocal correlation. Moreover, with the on-hand structural knowledge of entanglement and nonlocality in the (n, 2, 2) Bell scenario, we refine our estimate significantly.