EPJ Quantum Technol. (2014) 1: 9
https://doi.org/10.1140/epjqt9

Research

Efficient quantum simulation of fermionic and bosonic models in trapped ions

¹ Department of Physical Chemistry, University of the Basque Country UPV/EHU, Apartado 644, Bilbao, 48080, Spain
² IKERBASQUE, Basque Foundation for Science, Alameda Urquijo 36, Bilbao, 48011, Spain

^* e-mail: lucas.lamata@gmail.com

Received: 8 January 2014
Accepted: 26 May 2014
Published online: 18 June 2014

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.

PACS Codes: 03.67.Ac, 03.67.Lx, 37.10.Ty.