Universal fault-tolerant quantum computation using fault-tolerant conversion schemes
Lan Luo, Zhi Ma · New Journal of Physics · 2019
Abstract In this paper, we present the fault-tolerant conversion between quantum Reed–Muller (QRM)(2, 5) and QRM(2, 7), and also the conversion between QBCH(15, 7) and QRM(2, 7). Either of the two schemes provides a method to realize universal fault-tolerant quantum computation. In particular, the gate overhead and logical error rate of a logical T gate are provided, as well as the comparison with magic state distillation scheme. In addition, we propose two other fault-tolerant conversion schemes based on ( u ∣ u + v ) and ( a + x ∣ b + x ∣ a + b − x ) constructions.