176 citations · 1.3k across the 156 of their papers we have counts for
Showing 2009 · quant-phShow all
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quant-ph2009
Quantum Knots and Lattices, or a Blueprint for Quantum Systems that Do Rope Tricks
Samuel J. Lomonaco, Louis H. Kauffman
Using the cubic honeycomb (cubic tessellation) of Euclidean 3-space, we define a quantum system whose states, called quantum knots, represent a closed knotted piece of rope, i.e.,…
quant-ph2009★ 1 cited
Anyonic Topological Quantum Computation and the Virtual Braid Group
H. A. Dye, Louis H. Kauffman
We introduce a recoupling theory for virtual braided trees. This recoupling theory can be utilized to incorporate swap gates into anyonic models of quantum computation.
quant-ph2009★ 29 cited
NMR Quantum Calculations of the Jones Polynomial
Raimund Marx, Amr Fahmy, Louis Kauffman +5
The repertoire of problems theoretically solvable by a quantum computer recently expanded to include the approximate evaluation of knot invariants, specifically the Jones polynomia…