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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GTEMPO is extended to the Nambu formalism for superconducting baths via Bogoliubov transformation, with benchmarks showing accuracy against exact diagonalization and CTQMC.
Derives an exact downfolded effective model by integrating out the rest space, states conditions for perturbative truncation, and formally recovers cRPA with corrections.
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Estimating Green's functions with a robust quantum Arnoldi method
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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Grassmann time-evolving matrix product operators for fermionic impurities coupled to a superconducting bath
GTEMPO is extended to the Nambu formalism for superconducting baths via Bogoliubov transformation, with benchmarks showing accuracy against exact diagonalization and CTQMC.
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Exact downfolding and its perturbative approximation
Derives an exact downfolded effective model by integrating out the rest space, states conditions for perturbative truncation, and formally recovers cRPA with corrections.