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    Superadditivity of quantum capacity in simple channels

    Zhen Wu1,2, Qi Zhao3,*, and Zhihao Ma2,4,5,†

    • 1School of Mathematics and Statistics, Hainan University, Haikou, Hainan Province 570228, China
    • 2School of Mathematical Sciences, MOE-LSC, Shanghai Jiao Tong University, Shanghai 200240, China
    • 3QICI Quantum Information and Computation Initiative, Department of Computer Science, School of Computing and Data Science, The University of Hong Kong, Hong Kong
    • 4Shanghai Seres Information Technology Co., Ltd, Shanghai 200040, China
    • 5Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China

    • *Contact author: zhaoqi@cs.hku.hk
    • †Contact author: mazhihao@sjtu.edu.cn

    Phys. Rev. A 112, 032615 – Published 15 September, 2025

    DOI: https://doi.org/10.1103/14j4-6tfc

    Abstract

    The superadditivity of quantum channel capacity is an important feature of quantum information theory, different from classical theory, which has been attracting attention. Recently a special channel called “platypus channel” exhibits superadditive quantum capacity when combined with qudit erasure channels. Here we consider the generalized platypus channel, prove that it has computable channel capacities, such as both private and classical capacity equal to 1, and in particular, the generalized platypus channel still displays the superadditivity of quantum capacity when combined with qudit erasure channels and multilevel amplitude damping channels, respectively.

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