An Invitation to the Mathematics of Topological Quantum Computation

[摘要] Two-dimensional topological states of matter offer a route to quantum computation that would be topologically protected against the nemesis of the quantum circuit model: decoherence. Research groups in industry, government and academic institutions are pursuing this approach. We give a mathematician's perspective on some of the advantages and challenges of this model, highlighting some recent advances. We then give a short description of how we might extend the theory to three-dimensional materials.

[发布机构] Mathematics Department, Texas AandM University, College Station; TX; 77843-3368, United States^1

[关键词] Academic institutions;Decoherence;Quantum circuit;Research groups;Topological state