Negativity and steering: A stronger Peres conjecture
Negativity and steering: A stronger Peres conjecture
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DOI：
10.1103/physreva.88.032313
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发表时间：
2013-09-13
影响因子：
2.9
通讯作者：
Pusey, Matthew F.
中科院分区：
文献类型：
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作者：
Pusey, Matthew F.
即使双方都不信任他们的测量设备，贝尔不等式的违反也证明了纠缠的存在。最近莫洛德尔等人。 [T。莫洛德尔，J.-D.班卡尔，Y.-C。梁，M.霍夫曼和O.Guhne，物理学家。莱特牧师。 111, 030501 (2013)] 展示了如何量化该陈述，使用半定规划来计算给定违规所证明的纠缠程度。在这里，我将他们的技术应用于鲍勃的测量设备实际上是可信的情况，即爱因斯坦-波多尔斯基-罗森转向不等式的设置。有趣的是，所有研究的转向不平等结果都要求对其违规行为采取消极态度。这极大地强化了佩雷斯的猜想，即需要负性才能违反二分贝尔不等式。
The violation of a Bell inequality certifies the presence of entanglement even if neither party trusts their measurement devices. Recently Moroder et al. [T. Moroder, J.-D. Bancal, Y.-C. Liang, M. Hofmann, and O.Guhne, Phys. Rev. Lett. 111, 030501 (2013)] showed how to make this statement quantitative, using semidefinite programming to calculate how much entanglement is certified by a given violation. Here I adapt their techniques to the case in which Bob's measurement devices are in fact trusted, the setting for Einstein-Podolsky-Rosen steering inequalities. Interestingly, all of the steering inequalities studied turn out to require negativity for their violations. This supports a significant strengthening of Peres's conjecture that negativity is required to violate a bipartite Bell inequality.