## Are your parametric two-qubit gates limited by the driving AWG?

**No, is the short answer, if you are using a Zurich Instruments HDAWG. ðŸ˜€**

#### Here is why

Parametrically modulated superconducting qubit gates (parametric gates) are usually accomplished by RF-modulation â€“ typically several hundred MHz â€“ of the flux through a mediating coupler element or qubit. Usually, many dBm of signal power are required to achieve sufficiently fast gate operation; hence, an AWG with a large output range and bandwidth is desirable.

Since the AWG driving the gate is directly coupled to the qubits, the question arises to what extent the output noise of the AWG limits the fidelity of the gate operation. This was studied and discussed by Rigetti et al. in a recent paper available at arXiv.org**.** They concluded that for a noise power spectral density (PSD) or “noise floor” below -135 dBm hardly any contribution to gate infidelity is expected; see Figure 6 in their paper. They show that for sufficiently large qubit coherence times T1 and T2, gate infidelities as small as 0.085% at a PSD of -147 dBm/Hz are to be expected.Â As shown in the figure below, this is exactly what the Zurich Instruments HDAWG offers at an output range of Â±2.5 V. Both, the Rigetti home-build AWG and the Tektronix 5200 AWG mentioned in the publication exhibit higher PSD at lower maximum output ranges.

#### Conclusion

The Zurich Instruments HDAWG is an excellent choice when it comes to implementing fast parametric two-qubit gates with high fidelities on transmon qubits.