Quantum simulations with cold trapped ions

By Michael Johanning, A. Varon, Christof Wunderlich. 2009

179 citations recorded by the source corpus.

The control of internal and motional quantum degrees of freedom of laser-cooled trapped ions has been subject to intense theoretical and experimental research for about three decades. In the realm of quantum information science, the ability to deterministically prepare and measure quantum states of trapped ions is unprecedented. This expertise may be employed to investigate physical models conceived to describe systems that are not directly accessible for experimental investigations. Here, we give an overview of current theoretical proposals and experiments for such quantum simulations with trapped ions. This includes various spin models (e.g. the quantum transverse Ising model or a neural network), the Bose–Hubbard Hamiltonian, the Frenkel–Kontorova model, and quantum fields and relativistic effects.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/721cb3171ff4a43b57888224d4fd6664f9d974df

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In Atomic and Molecular Physics, and Optics

Citations in the corpus

Quantum simulation of the Dirac equation (2009, background): “Trapped ions are particularly interesting for the purpose of quantum simulation [19, 20, 21], as they allow for exceptional control of experimental parameters, and initialization and read-out can be achieved with high fidelity.”
Quantum Simulation (2013, background): “Ions can be trapped by electric (or magnetic) fields, laser-cooled and manipulated with high precision for realizing quantum simulation (Blatt and Wineland, 2008; Johanning et al., 2009; Schätz et al., 2007, 2004).”
Low-Disorder Microwave Cavity Lattices for Quantum Simulation with Photons (2012, background): “Furthermore, in more than two dimensions the transverse Ising model falls under the class of “NP-complete problems”, and is therefore an ideal model for quantum simulation experiments [9, 52, 56, 82].”
Quantum metrology with nonclassical states of atomic ensembles (2016, background): “…1999; Sørensen and Mølmer, 1999; Sørensen and Mølmer, 2000), through static magneticfield gradients in combination with homogeneous radiofrequency fields (Johanning et al., 2009a,b; Mintert and Wunderlich, 2001; Welzel et al., 2011), or with radiofrequency field gradients (Ospelkaus et al.,…”
Engineered Open Systems and Quantum Simulations with Atoms and Ions (2012, background): “…are cold atoms in optical lattices as analog simulators of Bose and Fermi Hubbard models (Lewenstein et al., 2006; Bloch et al., 2008; Dalibard et al., 2011) or Rydberg atoms (Saffman et al., 2010) or trapped ions (Schneider et al., 2012; Johanning et al., 2009) for the simulation of spin systems.”
Simulating chemistry using quantum computers. (2010, background): “Trapped ions Qubits can also be encoded in the electronic states of cold trapped ions, offering one of the most controllable systems available today (30, 57,20).”