具有两轮错误检测的复合Toffoli门
Composite Toffoli gate with two-round error detection
摘要：
我们引入了一个容错结构来实现四个重叠的Toffoli门的复合量子操作。同样的结构可以产生两个独立的Toffoli门。这一结果将量子计算机设计中的资源开销降低了一个数量级以上。该过程使用Clifford操作和64个非Clifford门$T = \exp[i π(I - σ^z) /8]$的副本。量子码检测电路中的错误。当错误的主要来源是$T$ -门故障概率为$p$时，则复合Toffoli电路的后选故障率为最低阶的$3072p^4$。
英文摘要：
We introduce a fault-tolerant construction to implement a composite quantum operation of four overlapping Toffoli gates. The same construction can produce two independent Toffoli gates. This result lowers resource overheads in designs for quantum computers by more than an order of magnitude. The procedure uses Clifford operations and 64 copies of the non-Clifford gate $T = \exp[i π(I - σ^z) /8]$. Quantum codes detect errors in the circuit. When the dominant source of error is $T$-gate failure with probability $p$, then the composite Toffoli circuit has postselected failure rate of $3072p^4$ to lowest order.
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