We consider coherent exciton transport modeled by continuous-time quantum walks on long-range interacting cycles (LRICs), which are constructed by connecting all the two nodes of distance m in the cycle graph. LRIC has a symmetric structure and can be regarded as the extensions of the cycle graph (nearest-neighboring lattice). For small values of m, the classical and quantum return probabilities show power law behavior p(t)∼t−0.5 and π(t)∼t−1, respectively. However, for large values of m, the classical and quantum efficiency scales as p(t)...
