%0 Journal Article
%J Journal of Physics A
%D 2016
%T Yang-Baxter operators need quantum entanglement to distinguish knots
%A Gorjan Alagic
%A Michael Jarret
%A Stephen P. Jordan
%X 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.
%B Journal of Physics A
%V 49
%P 075203
%8 2016/01/12
%G eng
%U http://arxiv.org/abs/1507.05979
%N 7
%R 10.1088/1751-8113/49/7/075203