The Trotter step size required for accurate quantum simulation of quantum chemistry

@article{Poulin2015TheTS,
  title={The Trotter step size required for accurate quantum simulation of quantum chemistry},
  author={David Poulin and Matthew B. Hastings and Dave Wecker and Nathan Wiebe and Andrew C. Doberty and Matthias Troyer},
  journal={Quantum Inf. Comput.},
  year={2015},
  volume={15},
  pages={361-384}
}
The simulation of molecules is a widely anticipated application of quantum computers. However, recent studies [1, 2] have cast a shadow on this hope by revealing that the complexity in gate count of such simulations increases with the number of spin orbitals N as N8, which becomes prohibitive even for molecules of modest size N ∼ 100. This study was partly based on a scaling analysis of the Trotter step required for an ensemble of random artificial molecules. Here, we revisit this analysis and… 
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