Quantum knots and lattices, or a blueprint for quantum systems that do rope tricks
Quantum knots and lattices, or a blueprint for quantum systems that do rope tricks
Within the framework of the cubic honeycomb (cubic tessella- tion) of Euclidean 3-space, we dene a quantum system whose states, called quantum knots, represent a closed knotted piece of rope, i.e., represent the particular spatial conguration of a knot tied in a rope in 3-space. This quan- tum system, called …