论文标题
在科钦 - 塞克论文中
Commutativity, comeasurability, and contextuality in the Kochen-Specker arguments
论文作者
论文摘要
如果将非上下文性定义为系统对测量对其他同时测量的响应的鲁棒性，则Kochen-Specker参数不能为量子上下文性提供代数证明。也就是说，要使论点有效，（i）每个操作员必须与测量值唯一相关，并且（ii）通勤操作员必须同时代表同时测量。但是，在文献中讨论的（i）或（ii）中讨论的所有科钦 - 雪橇论文中都没有满足。遇到的参数（i）至少包含一个相互通勤的操作员的一个子集，这些子集并不代表同时测量，因此无法物理证明功能组成原理是合理的。遇到的论点（ii）将某些操作员与多个测量值相关联，因此需要提出与非上下文不同的额外假设。
If noncontextuality is defined as the robustness of a system's response to a measurement against other simultaneous measurements, then the Kochen-Specker arguments do not provide an algebraic proof for quantum contextuality. Namely, for the argument to be effective, (i) each operator must be uniquely associated with a measurement and (ii) commuting operators must represent simultaneous measurements. However, in all Kochen-Specker arguments discussed in the literature either (i) or (ii) is not met. Arguments meeting (i) contain at least one subset of mutually commuting operators which do not represent simultaneous measurements and hence fail to physically justify the functional composition principle. Arguments meeting (ii) associate some operators with more than one measurement and hence need to invoke an extra assumption different from noncontextuality.
