论文标题
通过不精确的测量检测纠缠检测
Entanglement detection with imprecise measurements
论文作者
论文摘要
当局部测量仅几乎与预期的测量相对应时，我们研究纠缠检测。这对应于一个场景，在这种情况下，测量设备不是完全控制的，而是以有限的不准确性操作。我们通过直接在实验室中估算的不准确性的操作概念来对此进行正式化。为了证明这种方法的相关性，我们表明，不准确性的小幅度会严重损害几位著名的纠缠证人。对于两个任意维度的系统，由于任何给定的测量水平不准确，我们展示了如何对标准纠缠证人家族进行严格的校正。在这些情况下，我们还开发了半决赛编程方法以绑定相关性。
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 formalise 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 renowned 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.
