Quantum Fisher Information With General Quantum Coherence in multi-dimensional quantum systems

• URL: http://arxiv.org/abs/2510.25457v1
• Date: Wed, 29 Oct 2025 12:26:23 GMT
• Title: Quantum Fisher Information With General Quantum Coherence in multi-dimensional quantum systems
• Authors: Jun-Long Zhao, Li Yu, Ming Yang, Chui-Ping Yang,
• Abstract summary: General Quantum Coherence (GQC) captures quantum nature of high-dimensional quantum states.<n>We observe a stringent square relationship between GQC and quantum Fisher information (QFI)
• Score: 8.494626739086195
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum metrology is a science about quantum measurements and it plays a key role in precision of quantum parameter estimation. Meanwhile, quantum coherence is an important quantum feature and quantum Fisher information (QFI) is an important indicator for precision of quantum parameter estimation. In this paper, we explore the relationship between QFI and quantum coherence in multi-dimensional quantum systems. We introduce a new concept referred to as General Quantum Coherence (GQC), which characterizes the quantum coherence and the eigenenergies of the Hamiltonian in the interaction processes. GQC captures quantum nature of high-dimensional quantum states and addresses shortcomings in coherence measurement. Additionally, we observe a stringent square relationship between GQC and QFI. This finding provides a crucial guideline for improving the precision of parameter estimation.

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