Quantum simulation of the transverse Ising model with trapped ions

@article{Kim2011QuantumSO,
  title={Quantum simulation of the transverse Ising model with trapped ions},
  author={K. W. Kim and Simcha Korenblit and R. Islam and Emily E. Edwards and M.-S. Chang and C. Noh and Howard J. Carmichael and Guin-Dar Lin and Luming Duan and C C Joseph Wang and James K. Freericks and Christopher R. Monroe},
  journal={New Journal of Physics},
  year={2011},
  volume={13}
}
Crystals of trapped atomic ions are among the most promising platforms for the quantum simulation of many-body quantum physics. Here, we describe recent developments in the simulation of quantum magnetic spin models with trapped 171Yb+ ions, and discuss the possibility of scaling the system to a level of complexity where classical computation becomes intractable. 
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TLDR
This work simulates the emergence of magnetism by implementing a fully connected non-uniform ferromagnetic quantum Ising model using up to 9 trapped (171)Yb(+) ions, providing a critical benchmark for the simulation of intractable arbitrary fully connected Ising models in larger systems.
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