Projective Measurements are Sufficient for Recycling Nonlocality,Physical Review Letters

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Projective Measurements are Sufficient for Recycling Nonlocality
Physical Review Letters ( IF 8.1 ) Pub Date : 2022-11-30 , DOI: 10.1103/physrevlett.129.230402
Anna Steffinlongo _{1,

2,

3} , Armin Tavakoli _{2,

3}

Affiliation

Unsharp measurements are widely seen as the key resource for recycling the nonlocality of an entangled state shared between several sequential observers. Contrasting this, we here show that nonlocality can be recycled using only standard, projective, qubit measurements. Focusing on the Clauser-Horne-Shimony-Holt inequality and allowing parties to share classical randomness, we determine the optimal trade-off in the magnitude of Bell violations for a maximally entangled state. We then find that nonmaximally entangled states make possible larger sequential violations, which contrasts the standard Clauser-Horne-Shimony-Holt scenario. Furthermore, we show that nonlocality can be recycled using projective qubit measurements even when no shared classical randomness is available. We discuss the implications of our results for experimental implementations of sequential nonlocality.

中文翻译：

投影测量足以回收非定域性

非锐化测量被广泛视为回收几个连续观察者共享的纠缠态非定域性的关键资源。与此形成对比的是，我们在此表明，非局域性可以仅使用标准的、投影的、量子位测量来回收。着眼于 Clauser-Horne-Shimony-Holt 不等式并允许各方共享经典随机性，我们确定了最大纠缠态的贝尔违规幅度的最佳权衡。然后，我们发现非最大纠缠态可能会导致更大的顺序违规，这与标准的 Clauser-Horne-Shimony-Holt 场景形成对比。此外，我们表明即使没有可用的共享经典随机性，也可以使用投影量子位测量来回收非局域性。

更新日期：2022-11-30

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