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arXiv:2602.20763

A note on entanglement detection via the generalized realignment moments

Xiaofen Huang, Xishun Zhu, Bin Chen, Naihuan Jing, Shao-Ming Fei

quant-phSubmitted Feb 24, 2026• Announced Feb 25, 2026• 0 citations
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Abstract

The experimental detection of quantum entanglement is of great importance in quantum information processing. We present two separability criteria based on the generalized realignment moments. By incorporating additional parameters, these criteria prove to be more flexible and stronger than some of existing ones. Detailed examples are given to demonstrate their availability and feasibility for entanglement detection.

Journal reference
Advanced Quantum Technologies, 9: e00794(2026)

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The detection of entanglement in a bipartite state is a crucial issue in quantum information science. Based on realignment of density matrices and the vectorization of the reduced density matrices, we introduce a new set of separability criteria. The proposed separability criteria can detect more entanglement than the previous separability criteria. Moreover, we provide new criteria for detecting the genuine tripartite entanglement and lower bounds for the concurrence and convex-roof extended negativity. The advantages of results are demonstrated through detailed examples.
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