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About Degree Distribution in Quantum Walks On Complex Networks
This summary analyzes quantum walks on complex networks and relates them to classical walks. It shows that: 1) For quantum walks with zero energy initial states, the long-time average probability distribution of finding the walker at each node is equal to the normalized distribution of degrees in the network, which measures the connectivity of nodes. 2) For higher energy initial states, the difference between the quantum and classical distributions, called "quantumness", is bounded by the energy of the initial state. 3) For an evenly distributed initial state, the quantumness of the walk is controlled by the heterogeneity of the node degrees, which can be quantified by a Rényi entropy measure of the normalized weighted degrees.
Detailed Information
| Author: | ['Frontiers'] |
|---|---|
| Publication Year: | 2013 |
| Pages: | 8 |
| Language: | English |
| Format: | |
| Price: | FREE |
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