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- W4287245871 abstract "Simulating quantum dynamics on classical computers is challenging for large systems due to the significant memory requirements. Simulation on quantum computers is a promising alternative, but fully optimizing quantum circuits to minimize limited quantum resources remains an open problem. We tackle this problem presenting a constructive algorithm, based on Cartan decomposition of the Lie algebra generated by the Hamiltonian, that generates quantum circuits with time-independent depth. We highlight our algorithm for special classes of models, including Anderson localization in one dimensional transverse field XY model, where a O(n^2)-gate circuits naturally emerge. Compared to product formulas with significantly larger gate counts, our algorithm drastically improves simulation precision. In addition to providing exact circuits for a broad set of spin and fermionic models, our algorithm provides broad analytic and numerical insight into optimal Hamiltonian simulations." @default.
- W4287245871 created "2022-07-25" @default.
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- W4287245871 date "2021-04-01" @default.
- W4287245871 modified "2023-10-17" @default.
- W4287245871 title "Fixed Depth Hamiltonian Simulation via Cartan Decomposition" @default.
- W4287245871 hasPublicationYear "2021" @default.
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