Quantum processor architectures employ unit cells tiled over an area. A unit cell may include first and second sets of qubits where each qubit in the first set crosses at least one qubit in the second set. Each unit cell is positioned proximally adjacent at least one other unit cell. Within each unit cell, at least one qubit is longitudinally shifted with respect to at least one other qubit such that the longitudinally-shifted qubit crosses at least one qubit in a proximally adjacent unit cell. Communicative coupling between qubits is realized through respective intra-cell and inter-cell coupling devices. The longitudinal shifting of qubits and resultant crossing of qubits in proximally adjacent unit cells enables quantum processor architectures that can be better suited to solve certain problems.