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 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.