The ZZ feature map induces a signless Laplacian metric: a closed-form classical surrogate for quantum kernel regression

arXiv:2608.29422 · quant-ph · Submitted 2026-08-29 · Read on arXiv

quant-ph

Submitted: 2026-08-29

Updated: 2026-09-26

Comments: 25 pages, 3 figures, 7 tables, including an appendix. Code and analysis outputs: https://doi.org/10.5281/zenodo.21978922

Code: https://github.com/etekeli-cpu/zz-kernel-classical-surrogate

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Entanglement — 37× in this paper · explained in 3 episodes
• Anisotropy — 11× in this paper · explained in 3 episodes
• Benchmark — 9× in this paper · explained in 2 episodes
• Fidelity — 8× in this paper · explained in 2 episodes
• Verification — 3× in this paper · explained in 2 episodes
• Accuracy — 2× in this paper · explained in 1 episode
• Trace — 2× in this paper · explained in 2 episodes
• Adjacency Matrix — 1× in this paper · explained in 1 episode
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Modularity — 1× in this paper · explained in 9 episodes

Sources

• Statevector-to-Hardware Reconstruction of a Four-Qubit ZZ Quantum Kernel: A Single-Backend Case Study of Three Execution Jobs

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