Control incompatibility in multiparameter quantum metrology

• URL: http://arxiv.org/abs/2411.18896v1
• Date: Thu, 28 Nov 2024 04:00:56 GMT
• Title: Control incompatibility in multiparameter quantum metrology
• Authors: Zhiyao Hu, Shilin Wang, Linmu Qiao, Takuya Isogawa, Changhao Li, Yu Yang, Guoqing Wang, Haidong Yuan, Paola Cappellaro,
• Abstract summary: In practical applications like quantum sensing and quantum imaging, there is often a necessity to estimate multiple parameters simultaneously. This is primarily due to the inherent incompatibility of the optimal strategies for the estimation of different parameters, particularly those pertaining to optimal control. Our work offers valuable insights into how to minimize trade-offs induced by control incompatibility and enhance precision.
• Score: 15.883741878671383
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• Abstract: In practical applications like quantum sensing and quantum imaging, there is often a necessity to estimate multiple parameters simultaneously. Although the ultimate precision limits for single-parameter estimation are well established, the precision limit of multi-parameter estimation is much less understood. This is primarily due to the inherent incompatibility of the optimal strategies for the estimation of different parameters, particularly those pertaining to optimal control.In this study, we tackle the critical issue of control incompatibility in multi-parameter estimation by presenting explicit cases that expose this challenge. Our research not only pioneers the exploration of control incompatibility but also highlights its pivotal role in the field. Furthermore, our work offers valuable insights into how to minimize trade-offs induced by control incompatibility and enhance precision. This paves the way for future investigations into control strategies that enable optimal estimation of multiple parameters that are incompatible.

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