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

Physical Review Letters
A E RussoA D Baczewski

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.

References

Aug 23, 1996·Science·S Lloyd
Nov 1, 1995·Physical Review. a·A BarencoH Weinfurter
Apr 22, 1996·Physical Review Letters·R B Griffiths, C S Niu
Sep 10, 2005·Science·Alán Aspuru-GuzikMartin Head-Gordon
Nov 16, 2007·Nature·B L HigginsG J Pryde
Apr 28, 2009·Physical Review Letters·David Poulin, Pawel Wocjan
Jun 2, 2012·Science·Stephen P JordanJohn Preskill
Dec 20, 2012·The Journal of Chemical Physics·Jacob T SeeleyPeter J Love
Feb 2, 2013·Physical Review Letters·Jay M GambettaM Steffen
Mar 21, 2015·Physical Review Letters·Dominic W BerryRolando D Somma
Dec 15, 2015·Nature·Toby S CubittMichael M Wolf
Jul 16, 2016·Physical Review Letters·Nathan Wiebe, Chris Granade
May 27, 2017·Physical Review Letters·Kenneth RudingerPeter Maunz
Jun 9, 2018·Physical Review Letters·E F DumitrescuP Lougovski
Sep 8, 2018·Proceedings of the National Academy of Sciences of the United States of America·Andrew M ChildsYuan Su
Aug 31, 2019·Chemical Reviews·Yudong CaoAlán Aspuru-Guzik
Oct 28, 2020·Nature Communications·Timothy ProctorKevin Young

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