



@proceedings {1387,
	title = {Approximating the Turaev-Viro Invariant of Mapping Tori is Complete for  One Clean Qubit},
	year = {2011},
	month = {2011/05/31},
	abstract = {<p>The Turaev-Viro invariants are scalar topological invariants of three-dimensional manifolds. Here we show that the problem of estimating the Fibonacci version of the Turaev-Viro invariant of a mapping torus is a complete problem for the one clean qubit complexity class (DQC1). This complements a previous result showing that estimating the Turaev-Viro invariant for arbitrary manifolds presented as Heegaard splittings is a complete problem for the standard quantum computation model (BQP). We also discuss a beautiful analogy between these results and previously known results on the computational complexity of approximating the Jones polynomial.</p>},
	url = {http://arxiv.org/abs/1105.5100},
	author = {Stephen P. Jordan and Gorjan Alagic}
}
