Using 3D Topology for Quantum Computing

3D Topological Quantum Computing

We present some ideas to use 3-manifold topology for quantum computing extending ideas from a previous paper.We construct a quantum system on the complements of a knot in the 3-sphere (see arxiv:2102.04452 for previous work).The whole system is designed as knotted superconductor where every crossing is a josephson junction and the qubit is realized as flux qubit.We discuss the properties of this systems in particular the fluxion quantization by using the a-polynomial of the knot.