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Addressability of spin qubits in a silicon double quantum dot setup in the(1,1) charge configuration relies on having a large difference between theZeeman splittings of the electrons. When the difference is not sufficientlylarge, the rotating wave approximation becomes inaccurate. We consider a deviceworking in this regime, with always-on exchange coupling, and describe how a CZgate and arbitrary one-qubit gates which are robust against charge noise can beimplemented by smoothly pulsing the microwave source, while eliminating thecrosstalk. We find that the most significant deviations from the rotating waveapproximation, which are analogous to the Bloch-Siegert shift in a two-levelsystem, can be compensated using local virtual gates.

Robust implementation of quantum gates despite always-on exchange coupling in silicon double quantum dots