  Designing efficient quantum processor topologies is pivotal for advancing
scalable quantum computing architectures. The communication overhead, a
critical factor affecting the execution fidelity of quantum circuits, arises
from inevitable qubit routing that brings interacting qubits into physical
proximity by the means of serial SWAP gates to enable the direct two-qubit gate
application. Characterizing the qubit movement across the processor is crucial
for tailoring techniques for minimizing the SWAP gates. This work presents a
comparative analysis of the resulting communication overhead among three
processor topologies: star, heavy-hexagon lattice, and square lattice
topologies, according to performance metrics of communication-to-computation
ratio, mean qubit hotspotness, and temporal burstiness, showcasing that the
square lattice layout is favourable for quantum computer architectures at a
scale.
