We consider quantum transport on generalized scale-free networks (GSFNs) in the continuous-time quantum walk (CTQW) model. The efficiency of the transport is monitored through the exact and the average return probabilities. In this model these probabilities are fully determined by the eigenvalues and eigenvectors of the connectivity matrix. In the case of GSFNs we observe a nontrivial interplay between strong localization effects, due to starlike segments, and good spreading because of the linear segments. We show that the quantum transport on GSFNs can be increased by varying the minimum or the maximum allowed degrees, i.e., the limiting number of links emerging from every node. The same quantum efficiency is reached by considering various combinations of the construction parameters of the network, which normally show different topological features.

中文翻译：

---

广义无标度网络上的量子传输

我们在连续时间量子漫游（CTQW）模型中考虑广义无标度网络（GSFN）上的量子传输。运输的效率通过准确的和平均的返还概率进行监控。在此模型中，这些概率完全由连通性矩阵的特征值和特征向量确定。在GSFN的情况下，我们观察到由于星状片段而产生的强定位效应与由于线性片段而产生的良好扩散之间的非平凡相互作用。我们表明，可以通过改变最小或最大允许程度（即，从每个节点出现的有限链接数）来增加GSFN上的量子传输。通过考虑网络构造参数的各种组合，可以达到相同的量子效率，