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arXiv · 2512.06418

Generalized product-form monogamy relations in multi-qubit systems

Wen Zhou·Zhong-Xi Shen·Hong-Xing Wu·Zhi-Xi Wang·Shao-Ming Fei
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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 $\nu$-th ($\nu\geq2$) 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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Wen Zhou, Zhong-Xi Shen, Hong-Xing Wu, Zhi-Xi Wang, Shao-Ming Fei. 2025-12-06. Generalized product-form monogamy relations in multi-qubit systems. https://doi.org/10.1088/1555-6611%2Fae2096

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