Table 5 The pulse parameters of asymmetric CNOT gate and the average fidelity in the two-transmon system.

From: New design of three-qubit system with three transmons and a single fixed-frequency resonator coupler

Gate

\(f_1\) [GHz]

\(f_2\) [GHz]

\(T_X\) [ns]

\(T_S\) [ns]

\(\Omega _X\)

\(S_q\), \(\Omega _S\)

\(\text {CNOT}_{01}^{(\mathrm asym. )}\)

5.1108

5.1108

10

200

0.029

\(S_1\), 0.1

\(\text {CNOT}_{10}^{(\mathrm asym. )}\)

4.8641

4.8641

10

129

0.012

\(S_2\), 0.05

\(\varrho\)

\(\gamma _1\)

\(\gamma _2\)

\(\theta _0\)

\(\theta _1\)

F

0.16

0

− 0.9425

1.5394

\(-0.0628\)

0.9979

0.25

0

0.3142

\(-0.0628\)

2.6389

0.9977