Experimental investigation of uncertainty relations for non-Hermitian operators
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arXiv
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| Autores principales: | , , , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911109071503360 |
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| author | Zhao, Xinzhi Yu, Xinglei Zhou, Wenting Zhang, Chengjie Xu, Jin-Shi Li, Chuan-Feng Guo, Guang-Can |
| author_facet | Zhao, Xinzhi Yu, Xinglei Zhou, Wenting Zhang, Chengjie Xu, Jin-Shi Li, Chuan-Feng Guo, Guang-Can |
| contents | Uncertainty relations for Hermitian operators have been confirmed through many experiments. However, previous experiments have only tested the special case of non-Hermitian operators, i.e., uncertainty relations for unitary operators. In this study, we explore uncertainty relations for general non-Hermitian operators, which include Hermitian and unitary operators as special cases. We perform experiments with both real and complex non-Hermitian operators for qubit states, and confirm the validity of the uncertainty relations within the experimental error. Our results provide experimental evidence of uncertainty relations for non-Hermitian operators. Furthermore, our methods for realizing and measuring non-Hermitian operators are valuable in characterizing open-system dynamics and enhancing parameter estimation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_12214 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Experimental investigation of uncertainty relations for non-Hermitian operators Zhao, Xinzhi Yu, Xinglei Zhou, Wenting Zhang, Chengjie Xu, Jin-Shi Li, Chuan-Feng Guo, Guang-Can Quantum Physics Uncertainty relations for Hermitian operators have been confirmed through many experiments. However, previous experiments have only tested the special case of non-Hermitian operators, i.e., uncertainty relations for unitary operators. In this study, we explore uncertainty relations for general non-Hermitian operators, which include Hermitian and unitary operators as special cases. We perform experiments with both real and complex non-Hermitian operators for qubit states, and confirm the validity of the uncertainty relations within the experimental error. Our results provide experimental evidence of uncertainty relations for non-Hermitian operators. Furthermore, our methods for realizing and measuring non-Hermitian operators are valuable in characterizing open-system dynamics and enhancing parameter estimation. |
| title | Experimental investigation of uncertainty relations for non-Hermitian operators |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2508.12214 |