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arXiv · 1411.2465

Fermionic Models with Superconducting Circuits

U. Las Heras·L. García-Álvarez·A. Mezzacapo·E. Solano·L. Lamata
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Abstract

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.

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U. Las Heras, L. García-Álvarez, A. Mezzacapo, E. Solano, L. Lamata. 2014-11-10. Fermionic Models with Superconducting Circuits. https://doi.org/10.1140/epjqt/s40507-015-0021-5

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