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• W4384827559 abstract "Quantum computers, using efficient Hamiltonian evolution routines, have the potential to simulate Green's functions of classically intractable quantum systems. However, the decoherence errors of near-term quantum processors prohibit large evolution times, posing limits to the spectrum resolution. In this paper, we show that atomic norm minimization, a well-known super-resolution technique, can significantly reduce the minimum circuit depth for accurate spectrum reconstruction. We demonstrate this technique by recovering the spectral function of an impurity model from measurements of its Green's function on an IBM quantum computer. The reconstruction error with the atomic norm minimization is one order of magnitude smaller than with more standard signal processing methods. Super-resolution methods can facilitate the simulation of large and previously unexplored quantum systems, and may constitute a useful nonvariational tool to establish a quantum advantage in the near future." @default.
• W4384827559 created "2023-07-21" @default.
• W4384827559 creator A5011123632 @default.
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• W4384827559 date "2023-07-19" @default.
• W4384827559 modified "2023-10-17" @default.
• W4384827559 title "Superresolution of Green's functions on noisy quantum computers" @default.
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• W4384827559 doi "https://doi.org/10.1103/physreva.108.012618" @default.
• W4384827559 hasPublicationYear "2023" @default.
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