Digital-analog quantum simulation of interacting fermions via exchange of bosons in quantum field theories (DAQS):  L. García-Álvarez, J. Casanova, A. Mezzacapo, I. L. Egusquiza, L. Lamata, G. Romero, and E. Solano, “Fermion-Fermion Scattering in Quantum Field Theory with superconducting circuits”, Phys. Rev. Lett. 114, 070502 (2015). Link: [1404.2868] Fermion-Fermion Scattering in Quantum Field Theory with Superconducting Circuits (arxiv.org)

In this work, we were able to describe a modular architecture for quantum computation of scattering processes between fermions, like electrons, via exchange of a continuum of bosonic modes, like photons in open air. Our proposal shows that you may reach quantum advantage with rather few quantum elements (qubits, cavities, open transmission lines), while the proposal of John Preskill and others, published in Science 2011 requires millions of qubits.

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