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    Experimental single-query discrimination of entangling unitaries using local operations and classical communication on a programmable silicon photonic chip

    Xiaoqian Zhang (张晓倩)1, Weiqi Luo (罗伟其)2, Lvzhou Li (李绿周)3, Zhihao Li (李志浩)4,*, and Maolin Luo (罗茂林)4,†

    • 1College of Information Science and Technology, Jinan University, Guangzhou 510632, China
    • 2Guangdong Institute of Smart Education, Jinan University, Guangzhou 510632, China
    • 3Institute of Quantum Computing and Software, School of Computer Science and Engineering, Sun Yat-sen University, Guangzhou 510006, China
    • 4School of Physics and State Key Laboratory of Optoelectronic Materials and Technologies, Sun Yat-sen University, Guangzhou 510000, China

    • *Contact author: lizhh29@alumni.sysu.edu.cn
    • †Contact author: luoml5@alumni.sysu.edu.cn

    Phys. Rev. A 113, 022619 – Published 20 February, 2026

    DOI: https://doi.org/10.1103/vxgt-7f2y

    Abstract

    Quantum information processing relies on unitary operations to control quantum evolution, whose distinguishability reveals the fundamental differences between quantum processes. In principle, global strategies can realize optimal discrimination, but they remain impractical in distributed systems limited to local operations and classical communication (LOCC). Li et al. [Phys. Rev. A 96, 052327 (2017)] pointed out that an LOCC strategy can achieve the same optimal distinguishability as global strategies with a single query. In this study, we experimentally demonstrate LOCC-based discrimination of two-qubit entangling unitary operations on a programmable silicon photonic chip in the single-query setting, covering three representative cases: perfect, minimum-error, and unambiguous discrimination. Our results demonstrate that the LOCC strategy alone is sufficient to optimally discriminate any pair of two-qubit unitary operations, yielding a discrimination capability comparable to that of global strategies. For the nonperfectly distinguishable cases, error-free discrimination was realized through positive operator-valued measure (POVM) measurements, albeit with reduced efficiency. The experimentally demonstrated method for discriminating entangling unitary operations offers potential applications in quantum authentication and distributed quantum computing.

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