clopen.solutions

Disproof of the proposed fixed-time hydrogen Trotter lower bound

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No: ||S_n psi_0 - e^{iH} psi_0|| <= C n^{-3/8}, so n^{1/4} times the error tends to zero and no eventual lower bound c n^{-1/4} holds..

Claims

SOLUTION CLAIMED OP-00688 — A fixed-time lower bound for Trotter splitting of the hydrogen ground state
Disproof · fidelity not yet established

Files and sources

Paper
AIM @ a153f46, 562-hydrogen-trotter-disproof/PROOF.md ↗
Posted on GitHub
2 October 2026

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