论文标题
最佳数量的两个Qubit门的CNOT二二卫型电路的合成
Synthesis of CNOT-Dihedral circuits with optimal number of two qubit gates
论文作者
论文摘要
在本说明中，我们使用量子门[x，t，cx，cs]的生成集[x，t，cx，cs]介绍了两分（CNOT-CNOT-DIHEDRES组中的所有元素）的明确规范形式，并为受控的S（CS）和受控-X（CX）门提供了最小的典范形式。我们提供了一种算法来连续构建N量CNOT二二二月组，并主张最佳数量的受控-X（CX）门。需要这些结果来通过非克利福德随机基准测试来估计门错误，并且可能进一步应用于耐断层门集的电路优化。
In this note we present explicit canonical forms for all the elements in the two-qubit CNOT-Dihedral group, with minimal numbers of controlled-S (CS) and controlled-X (CX) gates, using the generating set of quantum gates [X, T, CX, CS]. We provide an algorithm to successively construct the n-qubit CNOT-Dihedral group, asserting an optimal number of controlled-X (CX) gates. These results are needed to estimate gate errors via non-Clifford randomized benchmarking and may have further applications to circuit optimization over fault-tolerant gate sets.
