Enhancing Quantum Metrology with High-order Fisher Information and Experiments

• URL: http://arxiv.org/abs/2606.27633v1
• Date: Fri, 26 Jun 2026 01:12:32 GMT
• Title: Enhancing Quantum Metrology with High-order Fisher Information and Experiments
• Abstract summary: We introduce a new information measure based on higher-order Fisher information.<n>We show that it naturally leads to a generalized uncertainty relation for parameter estimation.<n>We experimentally validate the proposed framework using a photonic platform.
• Score: 16.529428949106027
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Fisher information plays a central role in statistics and quantum metrology, providing the basis for the celebrated Cramér-Rao bound. In this work, we introduce a new information measure based on higher-order Fisher information and show that it naturally leads to a generalized uncertainty relation for parameter estimation, which can be regarded as an extension of the Cramér-Rao bound. As an application, we analyze the case of quantum phase estimation with a single qubit and compare our theoretical bounds with the well-known established hierarchical bounds. Finally, we experimentally validate the proposed framework using a photonic platform.

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