@article {1393, title = {Yang-Baxter operators need quantum entanglement to distinguish knots}, journal = {Journal of Physics A}, volume = {49}, year = {2016}, month = {2016/01/12}, pages = {075203}, abstract = { 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. }, doi = {10.1088/1751-8113/49/7/075203}, url = {http://arxiv.org/abs/1507.05979}, author = {Gorjan Alagic and Michael Jarret and Stephen P. Jordan} }