



@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}
}
