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Entanglement Detection with Imprecise Measurements
Physical Review Letters ( IF 8.1 ) Pub Date : 2022-06-21 , DOI: 10.1103/physrevlett.128.250501 Simon Morelli 1 , Hayata Yamasaki 1 , Marcus Huber 1 , Armin Tavakoli 1
Physical Review Letters ( IF 8.1 ) Pub Date : 2022-06-21 , DOI: 10.1103/physrevlett.128.250501 Simon Morelli 1 , Hayata Yamasaki 1 , Marcus Huber 1 , Armin Tavakoli 1
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We investigate entanglement detection when the local measurements only nearly correspond to those intended. This corresponds to a scenario in which measurement devices are not perfectly controlled, but nevertheless operate with bounded inaccuracy. We formalize this through an operational notion of inaccuracy that can be estimated directly in the lab. To demonstrate the relevance of this approach, we show that small magnitudes of inaccuracy can significantly compromise several well-known entanglement witnesses. For two arbitrary-dimensional systems, we show how to compute tight corrections to a family of standard entanglement witnesses due to any given level of measurement inaccuracy. We also develop semidefinite programming methods to bound correlations in these scenarios.
中文翻译：
测量不精确的纠缠检测
当局部测量值几乎与预期相符时，我们研究纠缠检测。这对应于测量设备未得到完美控制但运行精度有限的情况。我们通过可以在实验室中直接估计的不准确度的操作概念来形式化这一点。为了证明这种方法的相关性，我们证明了轻微的不准确性可能会严重损害几个众所周知的纠缠证人。对于两个任意维度的系统，我们展示了如何计算由于任何给定的测量不准确性水平而对一系列标准纠缠见证进行严格校正。我们还开发了半定编程方法来限制这些场景中的相关性。
更新日期：2022-06-21
中文翻译：
测量不精确的纠缠检测
当局部测量值几乎与预期相符时，我们研究纠缠检测。这对应于测量设备未得到完美控制但运行精度有限的情况。我们通过可以在实验室中直接估计的不准确度的操作概念来形式化这一点。为了证明这种方法的相关性，我们证明了轻微的不准确性可能会严重损害几个众所周知的纠缠证人。对于两个任意维度的系统，我们展示了如何计算由于任何给定的测量不准确性水平而对一系列标准纠缠见证进行严格校正。我们还开发了半定编程方法来限制这些场景中的相关性。
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