3D topological quantum computing

In this paper we will present some ideas to use 3D topology for quantum computing extending from a previous paper. Topological used \textquotedblleft knotted\textquotedblright{} states of topological phases matter, called anyons. But anyons are connected with surface topology. surfaces have (usually) abelian fundamental groups and therefore one needs non-abelian it computing. usual materials objects which can admit more complicated topologies. Here, complements knots do play prominent role in principle the main parts understand 3-manifold For that purpose, construct system on knot 3-sphere (see arXiv:2102.04452 work). The whole is designed as knotted superconductor where every crossing Josephson junction qubit realized flux qubit. We discuss properties systems particular fluxion quantization by using A-polynomial knot. Furthermore showed 2-qubit operations be linked (knotted) superconductors again coupled via junction.