Non-Hermitian sensing from the perspective of post-selected measurements

• URL: http://arxiv.org/abs/2505.05058v2
• Date: Mon, 12 May 2025 14:05:39 GMT
• Title: Non-Hermitian sensing from the perspective of post-selected measurements
• Authors: Neng Zeng, Tao Liu, Keyu Xia, Yu-Ran Zhang, Franco Nori,
• Abstract summary: We establish a fundamental connection between non-Hermitian quantum sensing and post-selected measurements.<n>We demonstrate that non-Hermitian sensors cannot outperform their Hermitian counterpart when all information is harnessed.
• Score: 1.9369271271189108
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: By employing the Naimark dilation, we establish a fundamental connection between non-Hermitian quantum sensing and post-selected measurements. The sensitivity of non-Hermitian quantum sensors is determined by the effective quantum Fisher information (QFI), which incorporates the success probability of post-selection. We demonstrate that non-Hermitian sensors cannot outperform their Hermitian counterpart when all information is harnessed, since the total QFI for the extended system constrains the effective QFI of the non-Hermitian subsystem. Moreover, we quantify the efficiency of non-Hermitian sensors with the ratio of the effective QFI to the total QFI, which can be optimized within the framework of post-selected measurements with minimal experimental trials. Our work provides a distinctive theoretical framework for investigating non-Hermitian quantum sensing and designing noise-resilient quantum metrological protocols.

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