Snapshotting Quantum Dynamics at Multiple Time Points

• URL: http://arxiv.org/abs/2207.06106v2
• Date: Mon, 04 Nov 2024 03:11:12 GMT
• Title: Snapshotting Quantum Dynamics at Multiple Time Points
• Authors: Pengfei Wang, Hyukjoon Kwon, Chun-Yang Luan, Wentao Chen, Mu Qiao, Zinan Zhou, Kaizhao Wang, M. S. Kim, Kihwan Kim,
• Abstract summary: We propose a method to extract dynamic information from a quantum system at intermediate time points. We reconstruct a multi-time quasi-probability distribution (QPD) that correctly recovers the probability at the respective time points.
• Score: 10.226937603741474
• License:
• 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 $^{171}\rm{Yb}^+$ 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.

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