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| Main Authors: | , , , , , , , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2207.06106 |
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| _version_ | 1866916465038327808 |
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| author | Wang, Pengfei Kwon, Hyukjoon Luan, Chun-Yang Chen, Wentao Qiao, Mu Zhou, Zinan Wang, Kaizhao Kim, M. S. Kim, Kihwan |
| author_facet | Wang, Pengfei Kwon, Hyukjoon Luan, Chun-Yang Chen, Wentao Qiao, Mu Zhou, Zinan Wang, Kaizhao Kim, M. S. Kim, Kihwan |
| contents | 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 $^{171}\rm{Yb}^+$ and $^{138}\rm{Ba}^+$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_06106 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Snapshotting Quantum Dynamics at Multiple Time Points Wang, Pengfei Kwon, Hyukjoon Luan, Chun-Yang Chen, Wentao Qiao, Mu Zhou, Zinan Wang, Kaizhao Kim, M. S. Kim, Kihwan Quantum Physics 81P40 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 $^{171}\rm{Yb}^+$ and $^{138}\rm{Ba}^+$ 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. |
| title | Snapshotting Quantum Dynamics at Multiple Time Points |
| topic | Quantum Physics 81P40 |
| url | https://arxiv.org/abs/2207.06106 |