Table 2 Characteristics of the two-qubit CZ gates performed between neighboring qubit pairs (*Q*_{0},*Q*_{1}), (*Q*_{1},*Q*_{2}), and (*Q*_{2},*Q*_{3}).*g*_{n} represents the effective qubit-qubit coupling under modulation, ω_{m} is the qubit modulation frequency, δω is the tunable qubit frequency shift under modulation, τ is the duration of the CZ gate, and ℱ_{QPT} is the two-qubit gate fidelity measured by QPT. The theoretical tunable qubit frequency shifts under modulation (δω^{th}/2π) were obtained analytically using the experimentally determined modulation frequencies ω_{m} and are very close to the experimentally measured values (δω/2π). The gate durations and effective qubit-qubit couplings include pulse risetimes of 40 ns to suppress the effect of pulse turn-on phase.