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Quantum Knots and Lattices, or a Blueprint for Quantum Systems that Do Rope Tricks
[article]

2009
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arXiv
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pre-print

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., represent the particular spatial configuration of a knot tied in a rope in 3-space. This quantum system, called a quantum knot system, is physically implementable in the same sense as Shor's quantum factoring algorithm is implementable. To define a quantum knot system, we replace the standard three Reidemeister knot

arXiv:0910.5891v1
fatcat:zdqtrajapfbgjhgooz2r5us5ou