Snapshotting quantum dynamics at multiple time points

Abstract Measurement-induced state disturbance is a major challenge in obtaining quantum statistics at multiple time points. We propose a method to extract dynamic information from a quantum system at intermediate time points, namely snapshotting quantum dynamics. To this end, we apply classical pos...

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Main Authors: Pengfei Wang, Hyukjoon Kwon, Chun-Yang Luan, Wentao Chen, Mu Qiao, Zinan Zhou, Kaizhao Wang, M. S. Kim, Kihwan Kim
Format: Article
Language:English
Published: Nature Portfolio 2024-10-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-024-53051-5
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author Pengfei Wang
Hyukjoon Kwon
Chun-Yang Luan
Wentao Chen
Mu Qiao
Zinan Zhou
Kaizhao Wang
M. S. Kim
Kihwan Kim
author_facet Pengfei Wang
Hyukjoon Kwon
Chun-Yang Luan
Wentao Chen
Mu Qiao
Zinan Zhou
Kaizhao Wang
M. S. Kim
Kihwan Kim
author_sort Pengfei Wang
collection DOAJ
description Abstract Measurement-induced state disturbance is a major challenge in obtaining quantum statistics at multiple time points. We propose a method to extract dynamic information from a quantum system at intermediate time points, namely snapshotting quantum dynamics. To this end, we apply classical post-processing after performing the ancilla-assisted measurements to cancel out the impact of the measurements at each time point. Based on this, we reconstruct a multi-time quasi-probability distribution (QPD) that correctly recovers the probability distributions at the respective time points. Our approach can also be applied to simultaneously extract exponentially many correlation functions with various time-orderings. We provide a proof-of-principle experimental demonstration of the proposed protocol using a dual-species trapped-ion system by employing 171Yb+ and 138Ba+ ions as the system and the ancilla, respectively. Multi-time measurements are performed by repeated initialization and detection of the ancilla state without directly measuring the system state. The two- and three-time QPDs and correlation functions are reconstructed reliably from the experiment, negativity and complex values in the QPDs clearly indicate a contribution of the quantum coherence throughout dynamics.
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institution Kabale University
issn 2041-1723
language English
publishDate 2024-10-01
publisher Nature Portfolio
record_format Article
series Nature Communications
spelling doaj-art-23c70b19f98148cf8eed25d19765d1cb2025-01-19T12:29:37ZengNature PortfolioNature Communications2041-17232024-10-0115111310.1038/s41467-024-53051-5Snapshotting quantum dynamics at multiple time pointsPengfei Wang0Hyukjoon Kwon1Chun-Yang Luan2Wentao Chen3Mu Qiao4Zinan Zhou5Kaizhao Wang6M. S. Kim7Kihwan Kim8Beijing Academy of Quantum Information SciencesKorea Institute for Advanced StudyState Key Laboratory of Low Dimensional Quantum Physics, Department of Physics, Tsinghua UniversityState Key Laboratory of Low Dimensional Quantum Physics, Department of Physics, Tsinghua UniversityState Key Laboratory of Low Dimensional Quantum Physics, Department of Physics, Tsinghua UniversityState Key Laboratory of Low Dimensional Quantum Physics, Department of Physics, Tsinghua UniversityState Key Laboratory of Low Dimensional Quantum Physics, Department of Physics, Tsinghua UniversityKorea Institute for Advanced StudyBeijing Academy of Quantum Information SciencesAbstract Measurement-induced state disturbance is a major challenge in obtaining quantum statistics at multiple time points. We propose a method to extract dynamic information from a quantum system at intermediate time points, namely snapshotting quantum dynamics. To this end, we apply classical post-processing after performing the ancilla-assisted measurements to cancel out the impact of the measurements at each time point. Based on this, we reconstruct a multi-time quasi-probability distribution (QPD) that correctly recovers the probability distributions at the respective time points. Our approach can also be applied to simultaneously extract exponentially many correlation functions with various time-orderings. We provide a proof-of-principle experimental demonstration of the proposed protocol using a dual-species trapped-ion system by employing 171Yb+ and 138Ba+ ions as the system and the ancilla, respectively. Multi-time measurements are performed by repeated initialization and detection of the ancilla state without directly measuring the system state. The two- and three-time QPDs and correlation functions are reconstructed reliably from the experiment, negativity and complex values in the QPDs clearly indicate a contribution of the quantum coherence throughout dynamics.https://doi.org/10.1038/s41467-024-53051-5
spellingShingle Pengfei Wang
Hyukjoon Kwon
Chun-Yang Luan
Wentao Chen
Mu Qiao
Zinan Zhou
Kaizhao Wang
M. S. Kim
Kihwan Kim
Snapshotting quantum dynamics at multiple time points
Nature Communications
title Snapshotting quantum dynamics at multiple time points
title_full Snapshotting quantum dynamics at multiple time points
title_fullStr Snapshotting quantum dynamics at multiple time points
title_full_unstemmed Snapshotting quantum dynamics at multiple time points
title_short Snapshotting quantum dynamics at multiple time points
title_sort snapshotting quantum dynamics at multiple time points
url https://doi.org/10.1038/s41467-024-53051-5
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AT muqiao snapshottingquantumdynamicsatmultipletimepoints
AT zinanzhou snapshottingquantumdynamicsatmultipletimepoints
AT kaizhaowang snapshottingquantumdynamicsatmultipletimepoints
AT mskim snapshottingquantumdynamicsatmultipletimepoints
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