Theory of the Edge-of-Chaos Advantage in Quantum Reservoir Computing

quant-ph

Submitted: 2026-10-04

Updated: 2026-10-04

Comments: 6 pages, 2 figures, plus Supplemental Material (17 pages, 2 figures)

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

Sources

• Chaos, Complexity, and Random Matrices
• Comments on the Sachdev-Ye-Kitaev model
• Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model
• Eigenstate Thermalization Scaling in Majorana Clusters: from Chaotic to Integrable Sachdev-Ye-Kitaev Models
• Random Matrix Theory of the Isospectral twirling
• Determinantal random point fields
• Lagrangian representation for fermionic linear optics
• Asymptotic corrections to the eigenvalue density of the GUE and LUE

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