Robust two-qubit entangling gates using shaped pulses in silicon double quantum dots

Addressibility of spin qubits in a silicon double quantum dot setup in the (1,1) charge configuration relies on the difference between Zeeman splittings of electrons. When the difference is not sufficiently large, rotating wave approximation breaks down. We consider a device working in this regime, with always-on exchange coupling, and describe how a CZ gate and arbitrary one-qubit gates which are robust against charge noise can be implemented by smoothly pulsing the microwave source, while eliminating the crosstalk stroboscopically. We find that the correction required to compensate the most significant errors due to rotating-wave approximation, which is analogous to Bloch-Siegert shift in two-level systems, can be implemented by using virtual local gates.