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Ab initio quantum chemistry: Methodology and applications

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2026 1

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Polynomial-time exact diagonalization via sparse guided eigenwalks

quant-ph · 2026-06-22 · unverdicted · novelty 8.0

Introduces the eigenwalk problem and proves a linear-diameter support-localization theorem for sparse eigenvectors, yielding poly(n)-time classical exact diagonalization for O(1)-sparse extremal eigenvectors of poly(n)-sparse 2^n-dimensional Hamiltonians.

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  • Polynomial-time exact diagonalization via sparse guided eigenwalks quant-ph · 2026-06-22 · unverdicted · none · ref 1

    Introduces the eigenwalk problem and proves a linear-diameter support-localization theorem for sparse eigenvectors, yielding poly(n)-time classical exact diagonalization for O(1)-sparse extremal eigenvectors of poly(n)-sparse 2^n-dimensional Hamiltonians.