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- W3100285554 abstract "The Green's function plays a crucial role when studying the nature of quantum many-body systems, especially strongly-correlated systems. Although the development of quantum computers in the near future may enable us to compute energy spectra of classically-intractable systems, methods to simulate the Green's function with near-term quantum algorithms have not been proposed yet. Here, we propose two methods to calculate the Green's function of a given Hamiltonian on near-term quantum computers. The first one makes use of a variational dynamics simulation of quantum systems and computes the dynamics of the Green's function in real time directly. The second one utilizes the Lehmann representation of the Green's function and a method which calculates excited states of the Hamiltonian. Both methods require shallow quantum circuits and are compatible with near-term quantum computers. We numerically simulated the Green's function of the Fermi-Hubbard model and demonstrated the validity of our proposals." @default.
- W3100285554 created "2020-11-23" @default.
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- W3100285554 date "2020-08-20" @default.
- W3100285554 modified "2023-10-17" @default.
- W3100285554 title "Calculation of the Green's function on near-term quantum computers" @default.
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- W3100285554 doi "https://doi.org/10.1103/physrevresearch.2.033281" @default.
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