Benchmarking variational quantum eigensolvers for the square-octagon-lattice Kitaev model

dc.contributor.author Li, Andy C.Y.
dc.contributor.author Alam, M. Sohaib
dc.contributor.author Iadecola, Thomas
dc.contributor.author Jahin, Ammar
dc.contributor.author Murat Kurkcuoglu, Doga
dc.contributor.author Li, Richard
dc.contributor.author Orth, Peter
dc.contributor.author Özgüler, A. Barış
dc.contributor.author Perdue, Gabriel N.
dc.contributor.author Tubman, Norm M.
dc.contributor.department Physics and Astronomy
dc.contributor.department Ames National Laboratory
dc.date.accessioned 2022-04-25T23:33:51Z
dc.date.available 2022-04-25T23:33:51Z
dc.date.issued 2021
dc.description.abstract Quantum spin systems may offer the first opportunities for beyond-classical quantum computations of scientific interest. While general quantum simulation algorithms likely require error-corrected qubits, there may be applications of scientific interest prior to the practical implementation of quantum error correction. The variational quantum eigensolver (VQE) is a promising approach to find energy eigenvalues on noisy quantum computers. Lattice models are of broad interest for use on near-term quantum hardware due to the sparsity of the number of Hamiltonian terms and the possibility of matching the lattice geometry to the hardware geometry. Here, we consider the Kitaev spin model on a hardware-native square-octagon qubit connectivity map, and examine the possibility of efficiently probing its rich phase diagram with VQE approaches. By benchmarking different choices of variational ansatz states and classical optimizers, we illustrate the advantage of a mixed optimization approach using the Hamiltonian variational ansatz (HVA). We further demonstrate the implementation of an HVA circuit on Rigetti's Aspen-9 chip with error mitigation.
dc.description.comments This is a pre-print of the article Li, Andy CY, M. Sohaib Alam, Thomas Iadecola, Ammar Jahin, Doga Murat Kurkcuoglu, Richard Li, Peter P. Orth, A. Barış Özgüler, Gabriel N. Perdue, and Norm M. Tubman. "Benchmarking variational quantum eigensolvers for the square-octagon-lattice Kitaev model." arXiv preprint arXiv:2108.13375 (2021). DOI: 10.48550/arXiv.2108.13375. Copyright 2022 The Authors. Posted with permission.
dc.identifier.uri https://dr.lib.iastate.edu/handle/20.500.12876/kv7k6L8v
dc.language.iso en
dc.publisher arXiv
dc.source.uri https://doi.org/10.48550/arXiv.2108.13375 *
dc.title Benchmarking variational quantum eigensolvers for the square-octagon-lattice Kitaev model
dc.type Preprint
dspace.entity.type Publication
relation.isAuthorOfPublication a2f70a9e-201d-4351-9b89-24cfb9d6344d
relation.isOrgUnitOfPublication 4a05cd4d-8749-4cff-96b1-32eca381d930
relation.isOrgUnitOfPublication 25913818-6714-4be5-89a6-f70c8facdf7e
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