Achieving the Multi-parameter Quantum Cramér-Rao Bound with Antiunitary Symmetry

• URL: http://arxiv.org/abs/2411.14929v1
• Date: Fri, 22 Nov 2024 13:37:43 GMT
• Title: Achieving the Multi-parameter Quantum Cramér-Rao Bound with Antiunitary Symmetry
• Authors: Ben Wang, Kaimin Zheng, Qian Xie, Aonan Zhang, Liang Xu, Lijian Zhang,
• Abstract summary: We propose a novel and comprehensive approach to optimize the parameters encoding strategies with the aid of antiunitary symmetry. The results showcase the simultaneous achievement of ultimate precision for multiple parameters without any trade-off.
• Score: 18.64293022108985
• License:
• Abstract: The estimation of multiple parameters is a ubiquitous requirement in many quantum metrology applications. However, achieving the ultimate precision limit, i.e. the quantum Cram\'er-Rao bound, becomes challenging in these scenarios compared to single parameter estimation. To address this issue, optimizing the parameters encoding strategies with the aid of antiunitary symmetry is a novel and comprehensive approach. For demonstration, we propose two types of quantum statistical models exhibiting antiunitary symmetry in experiments. The results showcase the simultaneous achievement of ultimate precision for multiple parameters without any trade-off and the precision is improved at least twice compared to conventional encoding strategies. Our work emphasizes the significant potential of antiunitary symmetry in addressing multi-parameter estimation problems.

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