Evaluating Energy Differences on a Quantum Computer with Robust Phase Estimation.

@article{Russo2021EvaluatingED,
  title={Evaluating Energy Differences on a Quantum Computer with Robust Phase Estimation.},
  author={A. Russo and K. Rudinger and B. Morrison and A. Baczewski},
  journal={Physical review letters},
  year={2021},
  volume={126 21},
  pages={
          210501
        }
}
We adapt the robust phase estimation algorithm to the evaluation of energy differences between two eigenstates using a quantum computer. This approach does not require controlled unitaries between auxiliary and system registers or even a single auxiliary qubit. As a proof of concept, we calculate the energies of the ground state and low-lying electronic excitations of a hydrogen molecule in a minimal basis on a cloud quantum computer. The denominative robustness of our approach is then… Expand

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