Efficient quantum simulation of fermionic and bosonic models in trapped ions

Understand

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.