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    Brute-force positivization of the ground states of the J1−J2 model

    P. A. Bannykh1, O. M. Sotnikov1,2, and V. V. Mazurenko1,2

    Phys. Rev. B 113, 184405 – Published 4 May, 2026

    DOI: https://doi.org/10.1103/r75d-zhkz

    Abstract

    Exploring sign structures of quantum wave functions attracts considerable attention due to the potential for advances in modeling complex phases of matter. This stimulates the development of different optimization procedures for imitating and manipulating the sign structures of quantum states. In this work, utilizing a brute force approach based on a set of single-qubit transformations, we evaluate protocols enabling positivization of the one-dimensional J1−J2 model ground states in the regime of strong frustration. Based on the obtained positivization results, we show the difference between the cases of periodic and open boundary conditions, and also establish the dependence of the sign structure on parity of the simulated spin chains.

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