Constant-depth circuits for dynamic simulations of materials on quantum computers

@article{Bassman2022ConstantdepthCF,
  title={Constant-depth circuits for dynamic simulations of materials on quantum computers},
  author={Lindsay Bassman and Roel Van Beeumen and Ed Younis and Ethan Smith and Costin Iancu and Wibe A. de Jong},
  journal={Materials Theory},
  year={2022},
  volume={6},
  pages={1-18}
}
Dynamic simulation of materials is a promising application for near-term quantum computers. Current algorithms for Hamiltonian simulation, however, produce circuits that grow in depth with increasing simulation time, limiting feasible simulations to short-time dynamics. Here, we present a method for generating circuits that are constant in depth with increasing simulation time for a specific subset of one-dimensional (1D) materials Hamiltonians, thereby enabling simulations out to arbitrarily… 
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