Greenberger-Horne-Zeilinger paradoxes from qudit graph states.
Greenberger-Horne-Zeilinger paradoxes from qudit graph states.
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DOI：
10.1103/physrevlett.110.100403
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发表时间：
2012-06
影响因子：
8.6
通讯作者：
Weidong Tang;Sixia Yu;C. Oh
中科院分区：
文献类型：
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作者：
Weidong Tang;Sixia Yu;C. Oh
揭示量子非定域性的一种有趣的方法是由Greenberger、Horne和Zeilinger(GHz)提出的全对零测试，被称为GHz悖论。到目前为止，真正的多粒子和多能级GHz悖论只存在于包含奇数个粒子的系统中。在这里，我们将借助一种特殊的称为GHz图的图的QUDIT图态来构造任意数目(大于3)粒子的GHz悖论。此外，基于GHz图产生的GHz悖论，我们导出了一个对每个观察者具有两个d-结果观测的Bell不等式和一个以与状态无关的方式检验量子上下文的Kochen-specker不等式。
One fascinating way of revealing quantum nonlocality is the all-versus-nothing test due to Greenberger, Horne, and Zeilinger (GHZ) known as the GHZ paradox. So far genuine multipartite and multilevel GHZ paradoxes are known to exist only in systems containing an odd number of particles. Here we shall construct GHZ paradoxes for an arbitrary number (greater than 3) of particles with the help of qudit graph states on a special kind of graphs, called GHZ graphs. Furthermore, based on the GHZ paradox arising from a GHZ graph, we derive a Bell inequality with two d-outcome observables for each observer, whose maximal violation attained by the corresponding graph state, and a Kochen-Specker inequality testing the quantum contextuality in a state-independent fashion.