QubitLogic
arXiv

Connectivity--Interference Competition in Coherent Transport on Percolated Hierarchical Small-World Networks

Adding links generally improves classical transport by increasing the number of available paths. We show that coherent quantum transport can display the opposite behavior.

We identify a coherent overconnectivity penalty: root-to-boundary transport is maximized at intermediate bond probability and decreases as the network approaches full connectivity.

Why this matters

This research highlights an intriguing feature of quantum transport, where more connections can sometimes hinder rather than help. Understanding this phenomenon can guide efficient design of quantum and photonic networks, which are crucial for future technologies.

What they actually achieved

The researchers demonstrated that in quantum transport over a percolated hierarchical small-world network, there's an optimal bond probability that maximizes transport efficiency. They identified a 'coherent overconnectivity penalty,' where too many connections can lead to decreased transport efficiency.

What they did not achieve

The study does not implement a practical quantum network with these findings. It remains a theoretical exploration without demonstrated physical implementation or real-world application in existing quantum systems.

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