176 citations · 1.3k across the 156 of their papers we have counts for
Showing 2007 · quant-phShow all
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quant-ph2007
Spin Networks and Anyonic Topological Computing II
Louis H. Kauffman, Samuel J. Lomonaco
We review the q-deformed spin network approach to topological quantum field theory and apply these methods to produce unitary representations of the braid groups that are dense in…
quant-ph2007★ 13 cited
A 3-Stranded Quantum Algorithm for the Jones Polynomial
Louis H. Kauffman, Samuel J. Lomonaco
Let K be a 3-stranded knot (or link), and let L denote the number of crossings in K. Let and be two positive real numbers such that is less than or equal to…
quant-ph2007
Topological-Like Features in Diagrammatical Quantum Circuits
Yong Zhang, Louis H. Kauffman
In this paper, we revisit topological-like features in the extended Temperley--Lieb diagrammatical representation for quantum circuits including the teleportation, dense coding and…