As there is no quantum error correction code with universal set of transversal gates, several
approaches have been proposed which, in combination of transversal gates, make universal
fault-tolerant quantum computation possible. Magic state distillation, code switching, code
concatenation and pieceable fault-tolerance are well-known examples of such approaches.
However, the overhead of these approaches is one of the main bottlenecks for large-scale
quantum computation. In this paper, two approaches for universal fault-tolerant quantum …

Fault-tolerant quantum circuit design can be done by using a set of transversal gates.
However, as there is no quantum error correction code with a universal set of transversal
gates, several approaches have been proposed which, in combination of transversal gates,
make universal fault-tolerant quantum computation possible. Magic state distillation, gauge
fixing, code switching, code concatenation and pieceable fault tolerance are well-known
examples of such approaches. However, the overhead of these approaches is one of the …