An Invitation to the Mathematics of Topological Quantum Computation

Quantum Fest 2015

Rowell, E.C.^1

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;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/698/1/012012/pdf
DOI  :  10.1088/1742-6596/698/1/012012

来源: IOP

【 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.