Efficient quantum simulation of fermionic and bosonic models in trapped ions

*Correspondence: [email protected] 1Department of Physical Chemistry, University of the Basque Country UPV/EHU, Apartado 644, Bilbao, 48080, Spain Full list of author information is available at the end of the article Abstract We analyze the efficiency of quantum simulations of fermionic and bosonic models in trapped ions. In particular, we study the optimal time of entangling gates and the required number of total elementary gates. Furthermore, we exemplify these estimations in the light of quantum simulations of quantum field theories, condensed-matter physics, and quantum chemistry. Finally, we show that trapped-ion technologies are a suitable platform for implementing quantum simulations involving interacting fermionic and bosonic modes, paving the way for overcoming classical computers in the near future.