Choi, Joonhee and Shaw, Adam L. and Madjarov, Ivaylo S. and Xie, Xin and Finkelstein, Ran and Covey, Jacob P. and Cotler, Jordan S. and Mark, Daniel K. and Huang, Hsin-Yuan and Kale, Anant and Pichler, Hannes and Brandão, Fernando G. S. L. and Choi, Soonwon and Endres, Manuel (2023) Preparing random states and benchmarking with many-body quantum chaos. Nature, 613 (7944). pp. 468-473. ISSN 0028-0836. doi:10.1038/s41586-022-05442-1. https://resolver.caltech.edu/CaltechAUTHORS:20230227-866489000.2
Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20230227-866489000.2
Abstract
Producing quantum states at random has become increasingly important in modern quantum science, with applications being both theoretical and practical. In particular, ensembles of such randomly distributed, but pure, quantum states underlie our understanding of complexity in quantum circuits1 and black holes, and have been used for benchmarking quantum devices in tests of quantum advantage. However, creating random ensembles has necessitated a high degree of spatio-temporal control placing such studies out of reach for a wide class of quantum systems. Here we solve this problem by predicting and experimentally observing the emergence of random state ensembles naturally under time-independent Hamiltonian dynamics, which we use to implement an efficient, widely applicable benchmarking protocol. The observed random ensembles emerge from projective measurements and are intimately linked to universal correlations built up between subsystems of a larger quantum system, offering new insights into quantum thermalization. Predicated on this discovery, we develop a fidelity estimation scheme, which we demonstrate for a Rydberg quantum simulator with up to 25 atoms using fewer than 10⁴ experimental samples. This method has broad applicability, as we demonstrate for Hamiltonian parameter estimation, target-state generation benchmarking, and comparison of analogue and digital quantum devices. Our work has implications for understanding randomness in quantum dynamics and enables applications of this concept in a much wider context.
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Alternate Title: | Emergent Quantum Randomness and Benchmarking from Hamiltonian Many-body Dynamics, Emergent Randomness and Benchmarking from Many-Body Quantum Chaos | ||||||||||||||||||||||||||||||||||||||||
Additional Information: | © 2023 Springer Natur. We acknowledge experimental help from P. Scholl during the revision of this manuscript, as well as discussions with A. Deshpande and A. Gorshkov. We acknowledge funding provided by the Institute for Quantum Information and Matter, an NSF Physics Frontiers Center (NSF grant no. PHY-1733907), the NSF CAREER award (no. 1753386), the AFOSR YIP (no. FA9550-19-1-0044), the DARPA ONISQ programme (no. W911NF2010021), the Army Research Office MURI program (no. W911NF2010136), the NSF QLCI program (no. 2016245), the DOE (grant no. DE-SC0021951), the US Department of Energy, Office of Science, National Quantum Information Science Research Centers, Quantum Systems Accelerator (grant no. DE-AC02-05CH11231) and F. Blum. J.C. acknowledges support from the IQIM postdoctoral fellowship. A.L.S. acknowledges support from the Eddleman Quantum graduate fellowship. R.F. acknowledges support from the Troesh postdoctoral fellowship. J.P.C. acknowledges support from the PMA Prize postdoctoral fellowship. H.P. acknowledges support by the Gordon and Betty Moore Foundation. H.-Y.H. is supported by the J. Yang & Family Foundation. A.K. acknowledges funding from the Harvard Quantum Initiative (HQI) graduate fellowship. J.S.C. is supported by a Junior Fellowship from the Harvard Society of Fellows and the US Department of Energy under grant contract no. DE-SC0012567. S.C. acknowledges support from the Miller Institute for Basic Research in Science. These authors contributed equally: Joonhee Choi, Adam L. Shaw. Contributions. J.C., A.L.S, S.C. and M.E. conceived the idea and experiment. J.C. and A.L.S. performed the experiments and data analysis. J.C., A.L.S., J.S.C., D.K.M., H.-Y.H., H.P., F.G.S.L.B., S.C. and M.E. contributed to the underlying theory. J.C., A.L.S., I.S.M., X.X., R.F., J.P.C. and A.K. contributed to building the experimental set-up and data taking. J.C., A.L.S., S.C. and M.E. wrote the manuscript with input from all authors. S.C. and M.E. supervised this project. Data availability. The data that support the findings of this study are available from the corresponding authors upon reasonable request. Code availability. The code that supports the findings of this study is available from the corresponding authors upon reasonable request. The authors declare no competing interests. | ||||||||||||||||||||||||||||||||||||||||
Group: | Institute for Quantum Information and Matter | ||||||||||||||||||||||||||||||||||||||||
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Issue or Number: | 7944 | ||||||||||||||||||||||||||||||||||||||||
DOI: | 10.1038/s41586-022-05442-1 | ||||||||||||||||||||||||||||||||||||||||
Record Number: | CaltechAUTHORS:20230227-866489000.2 | ||||||||||||||||||||||||||||||||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20230227-866489000.2 | ||||||||||||||||||||||||||||||||||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||||||||||||||||||||||||||||
ID Code: | 119515 | ||||||||||||||||||||||||||||||||||||||||
Collection: | CaltechAUTHORS | ||||||||||||||||||||||||||||||||||||||||
Deposited By: | George Porter | ||||||||||||||||||||||||||||||||||||||||
Deposited On: | 28 Feb 2023 03:22 | ||||||||||||||||||||||||||||||||||||||||
Last Modified: | 07 Jun 2023 20:31 |
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