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.
and Peyerimhoff, Sigrid D
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ADC-G3W2 reformulates vertex corrections to the GW self-energy as nonperturbative resummations within the ADC framework to guarantee positive semi-definiteness of the self-energy.
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Polynomial-time exact diagonalization via sparse guided eigenwalks
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.