Experimental detection of entanglement polytopes via local filters

Experimental detection of entanglement polytopes via local filters
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通过局部滤波器实验检测纠缠多胞体

DOI:
10.1038/s41534-017-0007-5
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发表时间:
2015-02
影响因子:
7.6
通讯作者:
Guo Guang-Can
Guo Guang-Can
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Zhao Yuan-Yuan;Grassl Markus;Zeng Bei;Xiang Guo-Yong;Zhang Chao;Li Chuan-Feng;Guo Guang-Can

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量子纠缠导致子系统之间的关联比任何可能的经典关联都要强,这是量子力学的奥秘之一。纠缠不能通过任何局部操作来增加,并且对于足够大的多体量子系统,存在无限多个不同的纠缠类,即,状态与随机局部操作和经典通信无关。另一方面,纠缠多面体的方法导致了许多粗粒度的纠缠类型,可以通过测量单粒子光谱来检测。然而,我们发现,具有高概率的本地频谱在于在一个以上的多面体,因此只提供部分信息的纠缠类型。为了克服这个问题,我们建议额外使用所谓的本地过滤器,这是非酉本地操作。我们在实验上证明了四量子比特系统中纠缠多面体的检测。利用局域滤波器,我们可以区分具有相同单粒子谱但属于不同多面体的纠缠态。
Quantum entanglement, resulting in correlations between subsystems that are stronger than any possible classical correlation, is one of the mysteries of quantum mechanics. Entanglement cannot be increased by any local operation, and for a sufficiently large many-body quantum system there exist infinitely many different entanglement classes, i.e., states that are not related by stochastic local operations and classical communications. On the other hand, the method of entanglement polytopes results in finitely many coarse-grained types of entanglement that can be detected by only measuring single-particle spectra. We find, however, that with high probability the local spectra lie in more than one polytope, hence providing only partial information about the entanglement type. To overcome this problem, we propose to additionally use so-called local filters, which are non-unitary local operations. We experimentally demonstrate the detection of entanglement polytopes in a four-qubit system. Using local filters we can distinguish the entanglement type of states with the same single particle spectra, but which belong to different polytopes.
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