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Concurrence Percolation Behavior in Diluted Quantum Networks
Gaogao Dong1, Yili Shen1, Xinqi Hu1
1School of Mathematical Sciences, Jiangsu University, Zhenjiang 212013, China.
Entropy (Basel, Switzerland)
|June 26, 2026
Summary
Quantum networks show enhanced robustness against degradation due to multipath entanglement. This quantum percolation effect lowers critical thresholds compared to classical networks, highlighting network resilience.
Area of Science:
- Quantum Information Science
- Network Science
- Statistical Physics
Background:
- Understanding quantum network connectivity under decoherence and link degradation is crucial.
- Structural network degradation impacts quantum information flow.
- Hierarchical scale-free networks offer unique properties for robust communication.
Purpose of the Study:
- To investigate connectivity transitions in diluted hierarchical scale-free quantum networks.
- To analyze the impact of decoherence and link degradation on quantum network performance.
- To compare quantum percolation with classical percolation in networks.
Main Methods:
- Diluting network links with probability (1-f).
- Analyzing (u,v) flower networks with adjustable path-length parameters.
- Employing quantum concurrence percolation and comparing with classical percolation.
- Utilizing analytical, numerical, and simulation approaches.
Main Results:
- Quantum percolation consistently shows lower critical thresholds than classical percolation.
- Lower thresholds persist across various network topologies and dilution levels.
- The (u,v) flower network model allows for analytical tractability.
Conclusions:
- Quantum multipath entanglement intrinsically compensates for structural degradation.
- Hierarchical scale-free topology enhances failure resistance and robustness in quantum networks.
- Quantum networks exhibit superior resilience compared to classical networks under degradation.
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