  One of the challenges when scaling up semiconductor-based quantum processors
consists in the presence of crosstalk errors caused by control operations on
neighboring qubits. In previous work, crosstalk in spin qubit arrays has been
investigated for non-driven single qubits near individually driven quantum
gates and for two simultaneously driven single-qubit gates. Nevertheless,
simultaneous gates are not restricted to single-qubit operations but also
include frequently used two-qubit gates such as the CNOT gate. We analyse the
impact of crosstalk drives on qubit operations, such as the CNOT and CPHASE
gates. We investigate the case of parallel $Y$ and CNOT gates, and we also
consider a two-dimensional arrangement of two parallel CNOT gates and find
unavoidable crosstalk. To minimize crosstalk errors, we develop appropriate
control protocols.
