Insight: Unsupervised Clustering of Quantum Complexity

#2
by QSBench - opened

Discovering Structural "DNA"

We’ve performed an unsupervised K-Means clustering on this dataset using structural features like gate_entropy, adj_density, and depth.

Key Findings:

  • Natural Grouping: Even without labels, quantum circuits form distinct "complexity tiers" when projected via PCA.
  • The "Scale" vs "Density": Our PCA analysis shows that the horizontal axis often represents the total gate count, while the vertical axis captures the density of interactions.
  • Outlier Detection: We identified unique circuit topologies that sit far away from standard benchmark "clouds."

Discussion:

Has anyone tried applying more advanced clustering (like HDBSCAN) or graph neural networks (GNNs) to this metadata to predict fidelity?

We'd love to see your visualizations or notebooks!

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