关于GHZ/W演算的范式
Towards Normal Forms for GHZ/W Calculus
摘要：
最近，一种新的GHZ/W图形演算已经建立，以更直观地研究和推理相互作用的量子系统。这种演算的组成结构被证明是装备精良，足以表示任意多体量子态下的随机本地操作和经典通信（SLOCC）等效。然而，如何明确识别哪些图形属性导致哪些状态仍然不清楚。如果我们在这个演算中有任意图的行为良好的范式，这就可以实现。本文首次尝试为一类有限的图，即简单正则图，实现这种范式。这些结果应该为最一般的情况铺平道路，作为未来工作的一部分。
英文摘要：
Recently, a novel GHZ/W graphical calculus has been established to study and reason more intuitively about interacting quantum systems. The compositional structure of this calculus was shown to be well-equipped to sufficiently express arbitrary mutlipartite quantum states equivalent under stochastic local operations and classical communication (SLOCC). However, it is still not clear how to explicitly identify which graphical properties lead to what states. This can be achieved if we have well-behaved normal forms for arbitrary graphs within this calculus. This article lays down a first attempt at realizing such normal forms for a restricted class of such graphs, namely simple and regular graphs. These results should pave the way for the most general cases as part of future work.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
