一类概率理论中的测量不相容性和薛定谔- EPR操纵
Measurement incompatibility and Schrödinger-EPR steering in a class of probabilistic theories
摘要：
转向是二分量子系统中最违反直觉的非经典特性之一，最早由薛定谔在量子理论早期发现。另一方面，测量不相容性是量子理论的另一个非经典特征。波尔最近，作者引用。[ \href{http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.113.160402}{Phys. Rev. Lett. {\bf 113}, 160402 (2014)} ]和[ \href{http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.113.160403}{Phys. Rev. Lett. {\bf 113}, 160403 (2014)} ]研究了这两个不同的非经典特征之间的关系。他们已经证明，一组测量不是联合可测量的（即不相容），当且仅当它们可以用于证明薛定谔-爱因斯坦-波多尔斯基-罗森转向。转向的概念已经被推广到更一般的抽象张量积理论，而不仅仅是希尔伯特空间量子力学。在这篇文章中，我们讨论的测量不相容的概念可以扩展到一般的概率论。此外，我们表明，操纵和测量之间的连接不兼容持有的边界类的张量积理论，而不仅仅是量子理论。
英文摘要：
Steering is one of the most counter intuitive non classical features of bipartite quantum system, first noticed by Schrödinger at the early days of quantum theory. On the other hand measurement incompatibility is another non classical feature of quantum theory, initially pointed out by N. Bohr. Recently the authors of Refs. [\href{http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.113.160402}{Phys. Rev. Lett. {\bf 113}, 160402 (2014)}] and [\href{http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.113.160403}{Phys. Rev. Lett. {\bf 113}, 160403 (2014)}] have investigated the relation between these two distinct non classical features. They have shown that a set of measurements is not jointly measurable (i.e. incompatible) if and only if they can be used for demonstrating Schrödinger-Einstein-Podolsky-Rosen steering. The concept of steering has been generalized for more general abstract tensor product theories rather than just Hilbert space quantum mechanics. In this article we discuss that the notion of measurement incompatibility can be extended for general probability theories. Further we show that the connection between steering and measurement incompatibility holds in a border class of tensor product theories rather than just quantum theory.
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