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    Interferometric power of quantum evolutions

    Guoqiang Jin, Jiajun Zhou, Weiye Feng, Guoping Sun, and Hongbiao Li*

    Hongying Yang†

    Qiang Zheng‡

    • College of Mechanical and Electrical Engineering, Tarim University, Aral 843300, China

    • *Contact author: lihongbiao@taru.edu.cn
    • †Contact author: younghy1@163.com
    • ‡Contact author: qiangzhengtg@tiangong.edu.cn

    Phys. Rev. A 113, 052411 – Published 5 May, 2026

    DOI: https://doi.org/10.1103/fmp5-9jd3

    Abstract

    Interferometric power (IP) quantifies the worst-case quantum Fisher information (QFI) achieved in a black-box interferometry, where the local encoding Hamiltonian has a fixed spectrum but an unknown eigenbasis. For classical-classical states as inputs for a two-qubit unitary gate, we adopt the maximum value of the symmetrized IP to quantify its IP-generation capability. Using the Cartan decomposition, our numerical results show that the unitary gates with the three-axis isotropic couplings can attain the maximum value of the symmetrized IP. Interestingly, IP is a more economical resource than quantum entanglement in adversarial sensing.

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