论文标题
三倍的拆分拆分Cayley Hexagon是上下文敏感的
Three-Qubit-Embedded Split Cayley Hexagon is Contextuality Sensitive
论文作者
论文摘要
众所周知，分裂的cayley Hexagon有两个非等效的嵌入订单二的二进制二进制和偏差的二进制符号极性空间，称为古典和偏斜。用63个典范的Pauli组的63个规范可观察到的$ \ MATHCAL {W}（5,2）$标记了三个Qubit Pauli组的典范，这是受（由元素之间的换向关系）引起的（元素之间的换向关系），两种类型的嵌入类型是量子上下文敏感的。特别是，我们表明，经典的六边形的补充不是上下文，而偏斜的六角形的补充是。
It is known that there are two non-equivalent embeddings of the split Cayley hexagon of order two into $\mathcal{W}(5,2)$, the binary symplectic polar space of rank three, called classical and skew. Labelling the 63 points of $\mathcal{W}(5,2)$ by the 63 canonical observables of the three-qubit Pauli group subject to the symplectic polarity induced by the (commutation relations between the elements of the) group, the two types of embedding are found to be quantum contextuality sensitive. In particular, we show that the complement of a classically-embedded hexagon is not contextual, whereas that of a skewly-embedded one is.
