Kleinmann Matthias, Osborne Tobias J, Scholz Volkher B, Werner Albert H
Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Straße 3, 57068 Siegen, Germany.
Institut für Theoretische Physik, Leibniz Universität Hannover, Appelstraße 2, 30167 Hannover, Germany.
Phys Rev Lett. 2013 Jan 25;110(4):040403. doi: 10.1103/PhysRevLett.110.040403. Epub 2013 Jan 23.
What singles out quantum mechanics as the fundamental theory of nature? Here we study local measurements in generalized probabilistic theories (GPTs) and investigate how observational limitations affect the production of correlations. We find that if only a subset of typical local measurements can be made then all the bipartite correlations produced in a GPT can be simulated to a high degree of accuracy by quantum mechanics. Our result makes use of a generalization of Dvoretzky's theorem for GPTs. The tripartite correlations can go beyond those exhibited by quantum mechanics, however.
是什么让量子力学成为自然界的基本理论？在这里，我们研究广义概率理论（GPTs）中的局部测量，并探究观测限制如何影响关联的产生。我们发现，如果只能进行典型局部测量的一个子集，那么GPT中产生的所有二分体关联都可以被量子力学以高度的精度模拟。我们的结果利用了GPT的Dvoretzky定理的推广。然而，三方关联可以超越量子力学所展示的关联。
