论文标题
具有等级优势的量子上下文情景的系统构建
Systematic construction of quantum contextuality scenarios with rank advantage
论文作者
论文摘要
当对测量结果的任何一致的价值分配导致与量子理论的矛盾时，一组量子测量表现出量子上下文。在原始的Kochen-specker型中，假定测量投影仪是射线，即单位等级的射线。直到最近，就已经确定了与国家无关的上下文性需要对第二等级的投影仪进行测量的情况。使用析取图产品，我们提供了一种系统的方法来构建需要非单位等级的上下文性场景。我们构建了要求排名大于排名的明确示例，最高排名第五。
A set of quantum measurements exhibits quantum contextuality when any consistent value assignment to the measurement outcomes leads to a contradiction with quantum theory. In the original Kochen-Specker-type of argument the measurement projectors are assumed to be rays, that is, of unit rank. Only recently a contextuality scenario has been identified where state-independent contextuality requires measurements with projectors of rank two. Using the disjunctive graph product, we provide a systematic method to construct contextuality scenarios which require non-unit rank. We construct explicit examples requiring ranks greater than rank one up to rank five.
