杨-巴克斯特算符需要量子纠缠来区分纽结
Yang-Baxter operators need quantum entanglement to distinguish knots
摘要：
杨-巴克斯特方程的任何解都产生一族辫子群的表示。在某些条件下，确定由Turaev，适当规范化的跟踪这些表示产生一个链接不变。任何Yang-Baxter解都可以解释为一个双量子点量子门。在这里，我们表明，如果这个门是非纠缠，那么由此产生的不变量的结是平凡的。因此，我们得到了拓扑纠缠和量子纠缠之间的一般联系，建议由考夫曼等人。
英文摘要：
Any solution to the Yang-Baxter equation yields a family of representations of braid groups. Under certain conditions, identified by Turaev, the appropriately normalized trace of these representations yields a link invariant. Any Yang-Baxter solution can be interpreted as a two-qudit quantum gate. Here we show that if this gate is non-entangling, then the resulting invariant of knots is trivial. We thus obtain a general connection between topological entanglement and quantum entanglement, as suggested by Kauffman et al.
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