Fermionic models with superconducting circuits

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We propose a method for the efficient quantum simulation of fermionic systems with superconducting circuits. It consists in the suitable use of Jordan-Wigner mapping, Trotter decomposition, and multiqubit gates, be with the use of a quantum bus or direct capacitive couplings. We apply our method to the paradigmatic cases of 1D and 2D Fermi-Hubbard models, involving couplings with nearest and next-nearest neighbours. Furthermore, we propose an optimal architecture for this model and discuss the benchmarking of the simulations in realistic circuit quantum electrodynamics setups.




Las Heras, U., García-álvarez, L., Mezzacapo, A., Solano, E., & Lamata, L. (2015). Fermionic models with superconducting circuits. EPJ Quantum Technology, 2(1). https://doi.org/10.1140/epjqt/s40507-015-0021-5

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