Generalized product-form monogamy relations in multi-qubit systems

• URL: http://arxiv.org/abs/2512.06418v1
• Date: Sat, 06 Dec 2025 12:30:17 GMT
• Title: Generalized product-form monogamy relations in multi-qubit systems
• Authors: Wen Zhou, Zhong-Xi Shen, Hong-Xing Wu, Zhi-Xi Wang, Shao-Ming Fei,
• Abstract summary: We present the product-form monogamy inequalities satisfied by the $$-th ($geq2$) power of the concurrence.<n>We show that they are tighter than the existing ones by detailed example.
• Score: 2.003078340059495
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Monogamy of entanglement essentially characterizes the entanglement distributions among the subsystems. Generally it is given by summation-form monogamy inequalities. In this paper, we present the product-form monogamy inequalities satisfied by the $ν$-th ($ν\geq2$) power of the concurrence. We show that they are tighter than the existing ones by detailed example. We then establish tighter product-form monogamy inequalities based on the negativity. We show that they are valid even for high dimensional states to which the well-known CKW inequality is violated.

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