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Trapped Ion Quantum Computing Quantum Chemistry

Evaluating energy differences on a quantum computer with robust phase estimation

arXiv
Authors: A. E. Russo, K. M. Rudinger, B. C. A. Morrison, A. D. Baczewski

Year

2020

Paper ID

22167

Status

Preprint

Abstract Read

~2 min

Abstract Words

105

Citations

N/A

Abstract

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 quantified in terms of a high tolerance to coherent errors in the state preparation and measurement. Conceptually, we note that all quantum phase estimation algorithms ultimately evaluate eigenvalue differences.

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  • This paper contributes to the Quantum Chemistry research area in the Quantum Articles archive.
  • It adds a 2020 reference point for readers tracking recent quantum research.
  • We adapt the robust phase estimation algorithm to the evaluation of energy differences between two eigenstates using a quantum computer.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2007.08697 [2] arXiv https://arxiv.org/abs/2007.08697 [3] Publisher https://arxiv.org/abs/2007.08697

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