Experimental investigation of uncertainty relations for non-Hermitian operators

• URL: http://arxiv.org/abs/2508.12214v1
• Date: Sun, 17 Aug 2025 03:05:35 GMT
• Title: Experimental investigation of uncertainty relations for non-Hermitian operators
• Authors: Xinzhi Zhao, Xinglei Yu, Wenting Zhou, Chengjie Zhang, Jin-Shi Xu, Chuan-Feng Li, Guang-Can Guo,
• Abstract summary: Uncertainty relations for Hermitian operators have been confirmed through many experiments.<n>Previous experiments have only tested the special case of non-Hermitian operators.<n>Our results provide experimental evidence of uncertainty relations for non-Hermitian operators.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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