1. A quantum computing system comprising: a multi-dimensional array of qubit devices, each qubit device having a respective qubit operating frequency that is independent of an offset electromagnetic field experienced by the qubit device; and coupler devices residing at intervals between neighboring pairs of the qubit devices in the multi-dimensional array, each coupler device being configured to receive coupler control signals that produce an electromagnetic interaction between the respective neighboring pair of qubit devices, each coupler device configured to vary a coupling strength of the electromagnetic interaction according to an offset electromagnetic field experienced by the coupler device, wherein each of the coupler devices has a respective coupler operating frequency that varies with the offset electromagnetic field experienced by the coupler device, and the coupling strength varies according to the coupler operating frequency, wherein each of the neighboring pairs of qubit devices comprises a first qubit device having a first qubit operating frequency and a second qubit device having a second, distinct qubit operating frequency, wherein the coupler control signals each comprise a DC component and an AC component, and the AC component drives the coupler devices at a drive frequency that corresponds to a sum or difference of the first qubit operating frequency and the second qubit operating frequency.