Table 1 The distribution of the number of 6-qubit Clifford unitaries across the entangling gate cost.
CNOT cost | Number of 6-qubit Clifford unitaries |
|---|---|
0 | 46,656 |
1 | 6,298,560 |
2 | 554,273,280 |
3 | 39,045,473,280 |
4 | 2,365,081,986,240 |
5 | 126,526,140,927,360 |
6 | 5,998,793,185,860,480 |
7 | 249,378,588,704,827,008 |
8 | 8,870,235,256,471,637,952 |
9 | 255,646,483,904,239,690,752 |
10 | 5,278,109,585,506,533,785,088 |
11 | 58,697,087,161,047,579,538,560 |
12 | 135,876,260,385,953,644,020,480 |
13 | 7,998,401,853,543,422,302,848 |
14 | 6,525,042,824,342,016 |
15 | 13,308,157,440 |
208,114,637,736,580,743,168,000 |
