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Can a neural network perfectly decode quantum phase transitions?

Graciana Puentes

May 26, 2026

A specific neural network architecture (NARX) predicted the critical parameter governing topological phase transitions with essentially zero error — down to numerical precision limits. This suggests the relationship between winding numbers and critical measurement strength isn't just learnable but is a perfect mathematical identity. The catch: the same model completely fails at slightly longer time delays, which paradoxically confirms it's capturing real physics rather than memorizing noise.
Published as Deterministic Mapping of Topological Phases via Autoregressive Exogenous Neural Networks arXiv:2605.27300
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