Durstberger-Rennhofer Katharina, Hasegawa Yuji
Atominstitut, Technische Universität Wien, Stadionallee 2, A-1020 Wien, Austria.
Physica B Condens Matter. 2011 Jun;406(12-2):2373-2376. doi: 10.1016/j.physb.2010.11.056.
Entanglement between degrees of freedom, namely between the spin, path and (total) energy degrees of freedom, for single neutrons is exploited. We implemented a triply entangled Greenberger-Horne-Zeilinger(GHZ)-like state and coherently manipulated relative phases of two-level quantum subsystems. An inequality derived by Mermin was applied to analyze the generated GHZ-like state: we determined the four expectation values and finally obtained [Formula: see text]. This demonstrates the violation of a Mermin-like inequality for triply entangled GHZ-like state in a single-particle system, which, in turn, exhibits a clear inconsistency between noncontextual assumptions and quantum mechanics and confirms quantum contextuality.
我们利用了单个中子自由度之间的纠缠，即自旋、路径和（总）能量自由度之间的纠缠。我们实现了一种类似三重重纠缠的格林伯格-霍恩-泽林格（GHZ）态，并对两能级量子子系统的相对相位进行了相干操纵。应用由默明推导的一个不等式来分析所生成的类GHZ态：我们确定了四个期望值，最终得到[公式：见正文]。这证明了在单粒子系统中对于三重重纠缠的类GHZ态违反了类似默明的不等式，这反过来又表现出非语境假设与量子力学之间的明显不一致，并证实了量子语境性。
