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It is considerably cheaper to evaluatef([M]) thanf(M), because the dimension of [M] is much smaller than that ofM

Arnoldi quadrature After [M] is found, we estimate the action of some matrix functionf(M) on the starting vector|χ 0⟩by evaluating f([M])

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Estimating Green's functions with a robust quantum Arnoldi method

quant-ph · 2026-05-21 · unverdicted · novelty 6.0

ROQAM formulates Green's function estimation via orthogonal polynomials to preserve Hessenberg structure under finite precision, enabling lower precision with depth and outperforming QSVD by orders of magnitude in resource estimates for a quantum impurity model.

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  • Estimating Green's functions with a robust quantum Arnoldi method quant-ph · 2026-05-21 · unverdicted · none · ref 63

    ROQAM formulates Green's function estimation via orthogonal polynomials to preserve Hessenberg structure under finite precision, enabling lower precision with depth and outperforming QSVD by orders of magnitude in resource estimates for a quantum impurity model.