A superconducting circuit comprising: a plurality of layers (60, 62, 64, 66) comprising a first conductor layer and a second conductor layer overlying the first conductor layer, each of the first and second conductor layers comprising at least one signal element; and a ground grid that is conductively coupled to ground and comprises a first plurality of parallel ground lines that occupy the first conductor layer and extend in a first direction and a second plurality of parallel ground lines that occupy the second conductor layer and extend in a second direction that is orthogonal with respect to the first direction, wherein the ground grid is arranged as a three-dimensional ground grid comprising a plurality of vias that extend vertically from a ground layer, and wherein the first and second pluralities of ground lines extend horizontally in a respective one of the first and second conductor layers to interconnect a respective pair of the plurality of vias, wherein the plurality of vias and the plurality of ground lines are coupled to provide a substantially cage-like structure of the three-dimensional ground grid that substantially encloses the at least one signal element, and wherein the superconducting circuit further comprises a first superconducting circuit cell and a second superconducting circuit cell that is adjacent to the first superconducting circuit cell, wherein each of the first and second superconducting circuit cells has a periphery that is defined by the three-dimensional ground grid, and wherein a pair of the plurality of vias and a portion of the plurality of ground lines that interconnect the pair of the plurality of vias correspond to a boundary between the first and second superconducting circuit cells, such that the first and second superconducting circuit cells share the pair of the plurality of vias and the portion of the plurality of ground lines. a plurality of layers (60, 62, 64, 66) comprising a first conductor layer and a second conductor layer overlying the first conductor layer, each of the first and second conductor layers comprising at least one signal element; and a ground grid that is conductively coupled to ground and comprises a first plurality of parallel ground lines that occupy the first conductor layer and extend in a first direction and a second plurality of parallel ground lines that occupy the second conductor layer and extend in a second direction that is orthogonal with respect to the first direction, wherein the ground grid is arranged as a three-dimensional ground grid comprising a plurality of vias that extend vertically from a ground layer, and wherein the first and second pluralities of ground lines extend horizontally in a respective one of the first and second conductor layers to interconnect a respective pair of the plurality of vias, wherein the plurality of vias and the plurality of ground lines are coupled to provide a substantially cage-like structure of the three-dimensional ground grid that substantially encloses the at least one signal element, and wherein the superconducting circuit further comprises a first superconducting circuit cell and a second superconducting circuit cell that is adjacent to the first superconducting circuit cell, wherein each of the first and second superconducting circuit cells has a periphery that is defined by the three-dimensional ground grid, and wherein a pair of the plurality of vias and a portion of the plurality of ground lines that interconnect the pair of the plurality of vias correspond to a boundary between the first and second superconducting circuit cells, such that the first and second superconducting circuit cells share the pair of the plurality of vias and the portion of the plurality of ground lines.