Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Strasse 3, D-57068 Siegen, Germany.
Department of Physics and Mathematics, University of Hull, Kingston-upon-Hull HU6 7RX, United Kingdom.
Phys Rev Lett. 2014 Aug 1;113(5):050401. doi: 10.1103/PhysRevLett.113.050401. Epub 2014 Jul 29.
We show that the quantum bound for temporal correlations in a Leggett-Garg test, analogous to the Tsirelson bound for spatial correlations in a Bell test, strongly depends on the number of levels N that can be accessed by the measurement apparatus via projective measurements. We provide exact bounds for small N that exceed the known bound for the Leggett-Garg inequality, and we show that in the limit N→∞ the Leggett-Garg inequality can be violated up to its algebraic maximum.
我们证明了 Leggett-Garg 测试中时间关联的量子约束，类似于贝尔测试中空间关联的 Tsirelson 约束，强烈依赖于可以通过投影测量访问的测量仪器的能级数 N。我们提供了小 N 的精确边界，这些边界超过了已知的 Leggett-Garg 不等式的边界，并且我们表明，在 N→∞的极限下，Leggett-Garg 不等式可以违反其代数最大值。
