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arXiv 1402.3442quant-ph
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基于全对无证明的Einstein-Podolsky-Rosen转向试验

Test of Einstein-Podolsky-Rosen Steering Based on the All-Versus-Nothing Proof

Chunfeng Wu, Jing-Ling Chen, Xiang-Jun Ye, Hong-Yi Su, Dong-Ling Deng, Zhenghan Wang, C. H. Oh

摘要:

相对于纠缠和Bell非定域性,Einstein-Podolsky-Rosen转向是一个新兴的研究课题,目前还处于起步阶段。虽然Einstein-Podolsky-Rosen转向问题已经从理论和实验两个方面得到了研究,但文献中已知的不等式还远没有得到很好的发展。因此,对于一些可操纵的混合态,还不可能观察到爱因斯坦-波多尔斯基-罗森操纵。最近,提出了一种简单的方法来识别Einstein-Podolsky-Rosen转向基于全对无的论点,提供了一个强有力的条件来证明家庭的两个量子比特(纯或混合)纠缠态的可操纵性。在这项工作中,我们表明,爱因斯坦-波多尔斯基-罗森转向的全对无证明可以通过测量投影概率来测试。通过局部隐藏状态模型施加的概率的界限,所提出的测试表明,即使在存在不精确和错误的情况下,也可以通过全对无的论证来检测转向。我们的测试可以在许多物理系统中实现,我们讨论了我们的计划与非阿贝尔任意子和捕获离子的可能实现。

英文摘要:

In comparison with entanglement and Bell nonlocality, Einstein-Podolsky-Rosen steering is a newly emerged research topic and in its incipient stage. Although Einstein-Podolsky-Rosen steering has been explored via violations of steering inequalities both theoretically and experimentally, the known inequalities in the literatures are far from well-developed. As a result, it is not yet possible to observe Einstein-Podolsky-Rosen steering for some steerable mixed states. Recently, a simple approach was presented to identify Einstein-Podolsky-Rosen steering based on all-versus-nothing argument, offering a strong condition to witness the steerability of a family of two-qubit (pure or mixed) entangled states. In this work, we show that the all-versus-nothing proof of Einstein-Podolsky-Rosen steering can be tested by measuring the projective probabilities. Through the bound of probabilities imposed by local-hidden-state model, the proposed test shows that steering can be detected by the all-versus-nothing argument experimentally even in the presence of imprecision and errors. Our test can be implemented in many physical systems and we discuss the possible realizations of our scheme with non-Abelian anyons and trapped ions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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