Quantum Computed Green's Functions using a Cumulant Expansion of the Lanczos Method
Gabriel Greene-Diniz,
David Zsolt Manrique,
Kentaro Yamamoto
et al.
Abstract:In this paper, we present a quantum computational method to calculate the many-body Green's function matrix in a spin orbital basis. We apply our approach to finite-sized fermionic Hubbard models and related impurity models within Dynamical Mean Field Theory, and demonstrate the calculation of Green's functions on Quantinuum's H1-1 trapped-ion quantum computer. Our approach involves a cumulant expansion of the Lanczos method, using Hamiltonian moments as measurable expectation values… Show more
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