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    Engineering resonating kagome dimers in Rydberg-atom arrays

    Xicheng Wang*

    Erich J. Mueller†

    • Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853, USA

    • *Contact author: wangtristan127@gmail.com
    • †Contact author: em256@cornell.edu

    Phys. Rev. A 113, 013329 – Published 27 January, 2026

    DOI: https://doi.org/10.1103/tkql-3pkg

    Abstract

    Motivated by experiments on Rydberg-atom arrays, we explore the properties of uniform quantum superpositions of kagome dimer configurations and construct an efficient algorithm for experimentally producing them. We begin by considering the thin-cylinder limit, where these states have simple descriptions. We then develop a matrix product representation of the states on arbitrary cylinders, which leads to a natural protocol to efficiently grow them. We explain how our approach can be adapted to other quantum computing hardware.

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