@inproceedings{76f585b07e3c4dfda41e9796ad29efd5,
title = "Symmetry Breaking Slows Convergence of the ADAPT Variational Quantum Eigensolver",
abstract = "The accurate treatment of molecular systems exhibiting strong electronic correlations has long been a target of quantum simulation. Strong correlation often results in symmetry-breaking of the mean-field reference, leading to L{\"o}wdin's 'symmetry dilemma'[1] whereby accuracy in the energy can be increased by breaking intrinsic symmetries of the system. We explore the impact of symmetry breaking on the performance of ADAPT-VQE using two strongly correlated systems where increasing correlation leads to spontaneous symmetry breaking of the mean-field solutions. We analyze the role that symmetry breaking in the reference states and orbital mappings of the fermionic Hamiltonians have on the performance of ADAPT-VQE. We observe that breaking symmetry has a deleterious effect on ADAPT-VQE by increasing the length of the ansatz necessary for energy convergence and exacerbating the problem of 'gradient troughs'.",
author = "Bertels, {Luke W.} and Grimsley, {Harper R.} and Economou, {Sophia E.} and Edwin Barnes and Mayhall, {Nicholas J.}",
note = "Publisher Copyright: {\textcopyright} 2023 IEEE.; 4th IEEE International Conference on Quantum Computing and Engineering, QCE 2023 ; Conference date: 17-09-2023 Through 22-09-2023",
year = "2023",
doi = "10.1109/QCE57702.2023.10190",
language = "English",
series = "Proceedings - 2023 IEEE International Conference on Quantum Computing and Engineering, QCE 2023",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "94--95",
editor = "Hausi Muller and Yuri Alexev and Andrea Delgado and Greg Byrd",
booktitle = "Proceedings - 2023 IEEE International Conference on Quantum Computing and Engineering, QCE 2023",
}