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Experimental Measurement of Out-of-Time-Ordered Correlators at Finite Temperature

Green, Alaina M. and Elben, A. and Huerta Alderete, C. and Joshi, Lata Kh. and Nguyen, Nhung H. and Zache, Torsten V. and Zhu, Yingyue and Sundar, Bhuvanesh and Linke, Norbert M. (2022) Experimental Measurement of Out-of-Time-Ordered Correlators at Finite Temperature. Physical Review Letters, 128 (14). Art. No. 140601. ISSN 0031-9007. doi:10.1103/physrevlett.128.140601. https://resolver.caltech.edu/CaltechAUTHORS:20220406-423731047

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Abstract

Out-of-time-ordered correlators (OTOCs) are a key observable in a wide range of interconnected fields including many-body physics, quantum information science, and quantum gravity. Measuring OTOCs using near-term quantum simulators will extend our ability to explore fundamental aspects of these fields and the subtle connections between them. Here, we demonstrate an experimental method to measure OTOCs at finite temperatures and use the method to study their temperature dependence. These measurements are performed on a digital quantum computer running a simulation of the transverse field Ising model. Our flexible method, based on the creation of a thermofield double state, can be extended to other models and enables us to probe the OTOC’s temperature-dependent decay rate. Measuring this decay rate opens up the possibility of testing the fundamental temperature-dependent bounds on quantum information scrambling.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevLett.128.140601DOIArticle
https://arxiv.org/abs/2112.02068arXivDiscussion Paper
ORCID:
AuthorORCID
Green, Alaina M.0000-0003-3365-4433
Elben, A.0000-0003-1444-6356
Huerta Alderete, C.0000-0003-3673-9985
Joshi, Lata Kh.0000-0001-7523-0781
Zache, Torsten V.0000-0003-3549-7160
Sundar, Bhuvanesh0000-0002-8867-360X
Additional Information:© 2022 American Physical Society. (Received 3 December 2021; revised 3 February 2022; accepted 9 March 2022; published 6 April 2022) A. E. acknowledges funding by the German National Academy of Sciences Leopoldina under the Grant No. LPDS 2021-02 and by the Walter Burke Institute for Theoretical Physics, Caltech. L. K. J. acknowledges the European Union’s Horizon 2020 research and innovation programme under Grant Agreement No. 731473 (QuantERA via QT-FLAG) and the Austrian Science Foundation (FWF, P 32597 N). T. V. Z.’s work is supported by the Simons Collaboration on Ultra-Quantum Matter, which is a grant from the Simons Foundation (651440, P. Z.). This work received support from the National Science Foundation through the Quantum Leap Challenge Institute for Robust Quantum Simulation (OMA-2120757) and the Physics Frontier Center (PHY-1430094) at the Joint Quantum Institute (JQI). A. M. G. is supported by a JQI Postdoctoral Fellowship. N. M. L. acknowledges funding by the Maryland-Army-Research-Lab Quantum Partnership (W911NF1920181), the Department of Energy, Office of Science, Office of Nuclear Physics (DE-SC0021143), and the Office of Naval Research (N00014-20-1-2695). We thank Ana Maria Rey and Murray Holland for a careful reading of the manuscript.
Group:Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Deutsche Akademie der Naturforscher LeopoldinaLPDS 2021-02
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
European Research Council (ERC)731473
FWF Der WissenschaftsfondsP 32597 N
Simons Foundation651440
NSFOMA-2120757
NSFPHY-1430094
Army Research LaboratoryW911NF1920181
Department of Energy (DOE)DE-SC0021143
Office of Naval Research (ONR)N00014-20-1-2695
Issue or Number:14
DOI:10.1103/physrevlett.128.140601
Record Number:CaltechAUTHORS:20220406-423731047
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20220406-423731047
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:114183
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:06 Apr 2022 13:36
Last Modified:06 Apr 2022 22:00

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  • Experimental Measurement of Out-of-Time-Ordered Correlators at Finite Temperature. (deposited 06 Apr 2022 13:36) [Currently Displayed]

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  • Green, Alaina M. and Elben, A. and Huerta Alderete, C. and Joshi, Lata Kh. and Nguyen, Nhung H. and Zache, Torsten V. and Zhu, Yingyue and Sundar, Bhuvanesh and Linke, Norbert M. Experimental Measurement of Out-of-Time-Ordered Correlators at Finite Temperature. (deposited 06 Apr 2022 13:36) [Currently Displayed]

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