Prepare Ground States of Highly Frustrated Magnetic Clusters on Quantum Computers

Yan Wang

doi:10.1109/QCE57702.2023.10300

Prepare Ground States of Highly Frustrated Magnetic Clusters on Quantum Computers

Yan Wang

Quantum Computational Science

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

Solving challenging problems in physical, chemical, and materials sciences is one of the most promising applications of quantum utility that can be realized on current noisy hardware, considering (i) the direct map (encoding) from the quantum particles and their interactions to the qubits and their entangling gates and (ii) the rapidly improved quantum hardware and advanced error-mitigation techniques. Understanding quantum spin liquid in frustrated magnetic materials is a longstanding challenge in condensed matter physics and the nature of the ground-state phases is highly debated among researchers. Using IBM quantum computers with superconducting qubits, we implemented a variational quantum eigensolver (VQE) algorithm to prepare the ground states of two 12-site cluster approximations of these highly frustrated magnetic materials. The interaction graphs of the two corresponding Hamiltonians are (a) the six-pointed star graph (a unit cell of the kagome lattice) and (b) the cuboctahedral graph (the kagome on a sphere). These are also two instances of Quantum Max Cut problem. With the VQE based on the Hamiltonian variational ansatz acting on a valence bond solid initial trial state, we prepared the ground states and obtained the exact ground energy on simulator and high accuracy on noisy hardware. The deep ansatz necessary to reach the ground state of the cuboctahedral graph indicates that it is a hard instance of Quantum Max Cut.

Original language	English
Title of host publication	Proceedings - 2023 IEEE International Conference on Quantum Computing and Engineering, QCE 2023
Editors	Hausi Muller, Yuri Alexev, Andrea Delgado, Greg Byrd
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	397-398
Number of pages	2
ISBN (Electronic)	9798350343236
DOIs	https://doi.org/10.1109/QCE57702.2023.10300
State	Published - 2023
Event	4th IEEE International Conference on Quantum Computing and Engineering, QCE 2023 - Bellevue, United States Duration: Sep 17 2023 → Sep 22 2023

Publication series

Name	Proceedings - 2023 IEEE International Conference on Quantum Computing and Engineering, QCE 2023
Volume	2

Conference

Conference	4th IEEE International Conference on Quantum Computing and Engineering, QCE 2023
Country/Territory	United States
City	Bellevue
Period	09/17/23 → 09/22/23

Funding

The work was supported by the U.S. Department of Energy, Office of Science, National Quantum Information Science Research Centers, Quantum Science Center. This research used resources of the Oak Ridge Leadership Computing Facility, which is a DOE Office of Science User Facility supported under Contract DE-AC05-00OR22725. We thank IBM Quantum for sponsoring Open Science Prize 2022 and offering the device ibmq_guadalupe.

Keywords

NISQ Applications
Quantum Computing
Quantum Max Cut
Variational Quantum Algorithms

Access to Document

10.1109/QCE57702.2023.10300

Cite this

Wang, Y. (2023). Prepare Ground States of Highly Frustrated Magnetic Clusters on Quantum Computers. In H. Muller, Y. Alexev, A. Delgado, & G. Byrd (Eds.), Proceedings - 2023 IEEE International Conference on Quantum Computing and Engineering, QCE 2023 (pp. 397-398). (Proceedings - 2023 IEEE International Conference on Quantum Computing and Engineering, QCE 2023; Vol. 2). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/QCE57702.2023.10300

Wang, Yan. / Prepare Ground States of Highly Frustrated Magnetic Clusters on Quantum Computers. Proceedings - 2023 IEEE International Conference on Quantum Computing and Engineering, QCE 2023. editor / Hausi Muller ; Yuri Alexev ; Andrea Delgado ; Greg Byrd. Institute of Electrical and Electronics Engineers Inc., 2023. pp. 397-398 (Proceedings - 2023 IEEE International Conference on Quantum Computing and Engineering, QCE 2023).

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abstract = "Solving challenging problems in physical, chemical, and materials sciences is one of the most promising applications of quantum utility that can be realized on current noisy hardware, considering (i) the direct map (encoding) from the quantum particles and their interactions to the qubits and their entangling gates and (ii) the rapidly improved quantum hardware and advanced error-mitigation techniques. Understanding quantum spin liquid in frustrated magnetic materials is a longstanding challenge in condensed matter physics and the nature of the ground-state phases is highly debated among researchers. Using IBM quantum computers with superconducting qubits, we implemented a variational quantum eigensolver (VQE) algorithm to prepare the ground states of two 12-site cluster approximations of these highly frustrated magnetic materials. The interaction graphs of the two corresponding Hamiltonians are (a) the six-pointed star graph (a unit cell of the kagome lattice) and (b) the cuboctahedral graph (the kagome on a sphere). These are also two instances of Quantum Max Cut problem. With the VQE based on the Hamiltonian variational ansatz acting on a valence bond solid initial trial state, we prepared the ground states and obtained the exact ground energy on simulator and high accuracy on noisy hardware. The deep ansatz necessary to reach the ground state of the cuboctahedral graph indicates that it is a hard instance of Quantum Max Cut.",

keywords = "NISQ Applications, Quantum Computing, Quantum Max Cut, Variational Quantum Algorithms",

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Wang, Y 2023, Prepare Ground States of Highly Frustrated Magnetic Clusters on Quantum Computers. in H Muller, Y Alexev, A Delgado & G Byrd (eds), Proceedings - 2023 IEEE International Conference on Quantum Computing and Engineering, QCE 2023. Proceedings - 2023 IEEE International Conference on Quantum Computing and Engineering, QCE 2023, vol. 2, Institute of Electrical and Electronics Engineers Inc., pp. 397-398, 4th IEEE International Conference on Quantum Computing and Engineering, QCE 2023, Bellevue, United States, 09/17/23. https://doi.org/10.1109/QCE57702.2023.10300

Prepare Ground States of Highly Frustrated Magnetic Clusters on Quantum Computers. / Wang, Yan.
Proceedings - 2023 IEEE International Conference on Quantum Computing and Engineering, QCE 2023. ed. / Hausi Muller; Yuri Alexev; Andrea Delgado; Greg Byrd. Institute of Electrical and Electronics Engineers Inc., 2023. p. 397-398 (Proceedings - 2023 IEEE International Conference on Quantum Computing and Engineering, QCE 2023; Vol. 2).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Wang Y. Prepare Ground States of Highly Frustrated Magnetic Clusters on Quantum Computers. In Muller H, Alexev Y, Delgado A, Byrd G, editors, Proceedings - 2023 IEEE International Conference on Quantum Computing and Engineering, QCE 2023. Institute of Electrical and Electronics Engineers Inc. 2023. p. 397-398. (Proceedings - 2023 IEEE International Conference on Quantum Computing and Engineering, QCE 2023). doi: 10.1109/QCE57702.2023.10300

Prepare Ground States of Highly Frustrated Magnetic Clusters on Quantum Computers

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