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.
Highlights
Quantum simulation is one of the most promising fields in quantum information science
2 Results and discussion 2.1 Fermionic and bosonic models in trapped ions Interacting fermionic and bosonic systems are ubiquitous in physics
They appear as effective models in condensed-matter physics and quantum chemistry, constituting the natural language in which quantum field theories are analyzed
Summary
Quantum simulation is one of the most promising fields in quantum information science. We analyze the necessary resources to implement a quantum simulation of fermions and bosons with trapped ions [ , – ]. We show that the methods developed for simulating fermionic and bosonic systems with ions can save a large amount of resources in terms of gates with respect to other platforms. In the Lamb-Dicke regime, namely, η (a + a†) , Eq ( ) can be expressed as HI = σ+e–i( t–φ) + iησ+e–i( t–φ) ae–iνt + a†eiνt + H.c. By choosing different internal vibrational transitions appropriately changing the laser detuning, , one can obtain the three basic interactions in trapped-ion technology.
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