TOPOLOGICAL PROTECTION OF QUANTUM INFORMATION

摘要

Topologically protected fault-tolerant quantum computation on the surface code is one of the most promising routes toward the realization of scalable quantum computation. We review fault-tolerant quantum computation on the planer surface code in two dimensions and its measurement-based version, topologically protected measurement-based quantum computation in three dimensions. We also survey recent progress made based on these two models, such as topologically protected measurement-based quantum computation on the thermal states.