Barasiński Artur
RCPTM, Joint Laboratory of Optics of Palacký University and Institute of Physics of CAS, Faculty of Science, Palacký University, 17. Listopadu 12, 771 46, Olomouc, Czech Republic.
Institute of Physics, University of Zielona Góra, Z. Szafrana 4a, 65-516, Zielona Góra, Poland.
Sci Rep. 2018 Aug 17;8(1):12305. doi: 10.1038/s41598-018-30022-7.
Quantum entanglement and non-locality are two special aspects of quantum correlations. The relationship between multipartite entanglement and non-locality is at the root of the foundations of quantum mechanics but there is still no general quantitative theory. In order to address this issue we analyze the relationship between tripartite non-locality and tripartite entanglement measure, called the three-tangle. We describe the states which give the extremal quantum values of a Bell-type inequality for a given value of the tripartite entanglement. Moreover, we show that such extremal states can be reached if one introduced an appropriate order induced by the three-π entanglement measure. Finally, we derive an analytical expression relating tripartite entanglement to the maximal violations of the Bell-type inequalities.
量子纠缠和非定域性是量子关联的两个特殊方面。多方纠缠与非定域性之间的关系是量子力学基础的核心，但目前仍没有通用的定量理论。为了解决这个问题，我们分析了三方非定域性与三方纠缠度量（称为三纠缠度）之间的关系。我们描述了对于给定的三方纠缠值，给出贝尔型不等式极值量子值的态。此外，我们表明，如果引入由三π纠缠度量诱导的适当顺序，就可以达到这种极值态。最后，我们推导了一个将三方纠缠与贝尔型不等式的最大违背联系起来的解析表达式。
