Benchmarking variational quantum eigensolvers for the square-octagon-lattice Kitaev model
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 finding 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) and the potential of probing the system's phase diagram using VQE. We further demonstrate the implementation of HVA circuits on Rigetti's Aspen-9 chip with error mitigation.
- Publication Date:
- Research Org.:
- Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States); Ames Laboratory (AMES), Ames, IA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1993317
- Alternate Identifier(s):
- OSTI ID: 1832822
- Report Number(s):
- FERMILAB-PUB-21-387-QIS; arXiv:2108.13375
Journal ID: ISSN 2643-1564; PPRHAI; 033071
- Grant/Contract Number:
- AC02-07CH11359
- Resource Type:
- Published Article
- Journal Name:
- Physical Review Research
- Additional Journal Information:
- Journal Name: Physical Review Research Journal Volume: 5 Journal Issue: 3; Journal ID: ISSN 2643-1564
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; quantum algorithms; quantum computation; quantum simulation
Citation Formats
Li, Andy C. Y., Alam, M. Sohaib, Iadecola, Thomas, Jahin, Ammar, Job, Joshua, Kurkcuoglu, Doga Murat, Li, Richard, Orth, Peter P., Özgüler, A. Barış, Perdue, Gabriel N., and Tubman, Norm M. Benchmarking variational quantum eigensolvers for the square-octagon-lattice Kitaev model. United States: N. p., 2023.
Web. doi:10.1103/PhysRevResearch.5.033071.
Li, Andy C. Y., Alam, M. Sohaib, Iadecola, Thomas, Jahin, Ammar, Job, Joshua, Kurkcuoglu, Doga Murat, Li, Richard, Orth, Peter P., Özgüler, A. Barış, Perdue, Gabriel N., & Tubman, Norm M. Benchmarking variational quantum eigensolvers for the square-octagon-lattice Kitaev model. United States. https://doi.org/10.1103/PhysRevResearch.5.033071
Li, Andy C. Y., Alam, M. Sohaib, Iadecola, Thomas, Jahin, Ammar, Job, Joshua, Kurkcuoglu, Doga Murat, Li, Richard, Orth, Peter P., Özgüler, A. Barış, Perdue, Gabriel N., and Tubman, Norm M. Tue .
"Benchmarking variational quantum eigensolvers for the square-octagon-lattice Kitaev model". United States. https://doi.org/10.1103/PhysRevResearch.5.033071.
@article{osti_1993317,
title = {Benchmarking variational quantum eigensolvers for the square-octagon-lattice Kitaev model},
author = {Li, Andy C. Y. and Alam, M. Sohaib and Iadecola, Thomas and Jahin, Ammar and Job, Joshua and Kurkcuoglu, Doga Murat and Li, Richard and Orth, Peter P. and Özgüler, A. Barış and Perdue, Gabriel N. and Tubman, Norm M.},
abstractNote = {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 finding 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) and the potential of probing the system's phase diagram using VQE. We further demonstrate the implementation of HVA circuits on Rigetti's Aspen-9 chip with error mitigation.},
doi = {10.1103/PhysRevResearch.5.033071},
journal = {Physical Review Research},
number = 3,
volume = 5,
place = {United States},
year = {Tue Aug 01 00:00:00 EDT 2023},
month = {Tue Aug 01 00:00:00 EDT 2023}
}
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