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Quantum Computation of Finite-Temperature Static and Dynamical Properties of Spin Systems Using Quantum Imaginary Time Evolution

Sun, Shi-Ning and Motta, Mario and Tazhigulov, Ruslan N. and Tan, Adrian T. K. and Chan, Garnet Kin-Lic and Minnich, Austin J. (2021) Quantum Computation of Finite-Temperature Static and Dynamical Properties of Spin Systems Using Quantum Imaginary Time Evolution. PRX Quantum, 2 (1). Art. No. 010317. ISSN 2691-3399.

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Developing scalable quantum algorithms to study finite-temperature physics of quantum many-body systems has attracted considerable interest due to recent advancements in quantum hardware. However, such algorithms in their present form require resources that exceed the capabilities of current quantum computers except for a limited range of system sizes and observables. Here, we report calculations of finite-temperature properties, including energy, static and dynamical correlation functions, and excitation spectra of spin systems with up to four sites on five-qubit IBM Quantum devices. These calculations are performed using the quantum imaginary time evolution (QITE) algorithm and made possible by several algorithmic improvements, including a method to exploit symmetries that reduces the quantum resources required by QITE, circuit optimization procedures to reduce circuit depth, and error-mitigation techniques to improve the quality of raw hardware data. Our work demonstrates that the ansatz-independent QITE algorithm is capable of computing diverse finite-temperature observables on near-term quantum devices.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Sun, Shi-Ning0000-0002-5984-780X
Motta, Mario0000-0003-1647-9864
Tazhigulov, Ruslan N.0000-0002-0679-3078
Chan, Garnet Kin-Lic0000-0001-8009-6038
Minnich, Austin J.0000-0002-9671-9540
Additional Information:© 2021 Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Received 9 September 2020; accepted 28 November 2020; published 1 February 2021. The authors thank Y. Wang, X. Ma, S. Sheldon and T. P. Gujarati for helpful discussions. S.-N.S., A.T.K.T., and A.J.M. are supported by NSF Grant No. 1839204. R.N.T. and G.K.-L.C. are supported by the US Department of Energy, Office of Science, Grant No. 19374. S.-N.S. acknowledges J. M. Burks and G. O. Jones for helping with access to IBM Quantum devices.
Funding AgencyGrant Number
Department of Energy (DOE)19374
Issue or Number:1
Record Number:CaltechAUTHORS:20201028-084640144
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:106319
Deposited By: Tony Diaz
Deposited On:29 Oct 2020 19:01
Last Modified:01 Feb 2021 21:33

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