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Title: Generation of thermofield double states and critical ground states with a quantum computer

Abstract

Finite-temperature phases of many-body quantum systems are fundamental to phenomena ranging from condensed-matter physics to cosmology, yet they are generally difficult to simulate. Using an ion trap quantum computer and protocols motivated by the quantum approximate optimization algorithm (QAOA), we generate nontrivial thermal quantum states of the transverse-field Ising model (TFIM) by preparing thermofield double states at a variety of temperatures. We also prepare the critical state of the TFIM at zero temperature using quantum–classical hybrid optimization. The entanglement structure of thermofield double and critical states plays a key role in the study of black holes, and our work simulates such nontrivial structures on a quantum computer. Moreover, we find that the variational quantum circuits exhibit noise thresholds above which the lowest-depth QAOA circuits provide the best results.

Authors:
ORCiD logo; ; ; ; ORCiD logo; ; ; ;
Publication Date:
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1668420
Grant/Contract Number:  
FOA-0001909; FOA-0001893
Resource Type:
Published Article
Journal Name:
Proceedings of the National Academy of Sciences of the United States of America
Additional Journal Information:
Journal Name: Proceedings of the National Academy of Sciences of the United States of America Journal Volume: 117 Journal Issue: 41; Journal ID: ISSN 0027-8424
Publisher:
Proceedings of the National Academy of Sciences
Country of Publication:
United States
Language:
English

Citation Formats

Zhu, D., Johri, S., Linke, N. M., Landsman, K. A., Huerta Alderete, C., Nguyen, N. H., Matsuura, A. Y., Hsieh, T. H., and Monroe, C. Generation of thermofield double states and critical ground states with a quantum computer. United States: N. p., 2020. Web. https://doi.org/10.1073/pnas.2006337117.
Zhu, D., Johri, S., Linke, N. M., Landsman, K. A., Huerta Alderete, C., Nguyen, N. H., Matsuura, A. Y., Hsieh, T. H., & Monroe, C. Generation of thermofield double states and critical ground states with a quantum computer. United States. https://doi.org/10.1073/pnas.2006337117
Zhu, D., Johri, S., Linke, N. M., Landsman, K. A., Huerta Alderete, C., Nguyen, N. H., Matsuura, A. Y., Hsieh, T. H., and Monroe, C. Mon . "Generation of thermofield double states and critical ground states with a quantum computer". United States. https://doi.org/10.1073/pnas.2006337117.
@article{osti_1668420,
title = {Generation of thermofield double states and critical ground states with a quantum computer},
author = {Zhu, D. and Johri, S. and Linke, N. M. and Landsman, K. A. and Huerta Alderete, C. and Nguyen, N. H. and Matsuura, A. Y. and Hsieh, T. H. and Monroe, C.},
abstractNote = {Finite-temperature phases of many-body quantum systems are fundamental to phenomena ranging from condensed-matter physics to cosmology, yet they are generally difficult to simulate. Using an ion trap quantum computer and protocols motivated by the quantum approximate optimization algorithm (QAOA), we generate nontrivial thermal quantum states of the transverse-field Ising model (TFIM) by preparing thermofield double states at a variety of temperatures. We also prepare the critical state of the TFIM at zero temperature using quantum–classical hybrid optimization. The entanglement structure of thermofield double and critical states plays a key role in the study of black holes, and our work simulates such nontrivial structures on a quantum computer. Moreover, we find that the variational quantum circuits exhibit noise thresholds above which the lowest-depth QAOA circuits provide the best results.},
doi = {10.1073/pnas.2006337117},
journal = {Proceedings of the National Academy of Sciences of the United States of America},
number = 41,
volume = 117,
place = {United States},
year = {2020},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1073/pnas.2006337117

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