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<p>Monogamy relation is one of the essential properties of quantum entanglement, which characterizes the distribution of entanglement in a multipartite system. In this paper, we introduce some monogamy inequalities based on the <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10773_2025_5897_Article_IEq3.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="14" /> </InlineMediaObject> <EquationSource Format="TEX">\(\alpha \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>α</mi> </math></EquationSource> </InlineEquation>-logarithmic concurrence entanglement measure for <i>N</i>-qubit states and we demonstrate that our new monogamy inequality is stronger than existing monogamous relations. Finally, the newly given monogamy inequality is shown to be stricter through some detailed examples.</p>

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Some Monogamy Inequalities Based on the \(\alpha \)-logarithmic Concurrence Measure for N-qubit States

  • 期刊论文

  • 发表日期：

    2025年1月22日

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  • Yinzhu Wang,
  • Chen Cheng,
  • Lihua Hao,
  • Yanjing Sun,
  • Ruifen Ma

摘要

Monogamy relation is one of the essential properties of quantum entanglement, which characterizes the distribution of entanglement in a multipartite system. In this paper, we introduce some monogamy inequalities based on the \(\alpha \) α -logarithmic concurrence entanglement measure for N-qubit states and we demonstrate that our new monogamy inequality is stronger than existing monogamous relations. Finally, the newly given monogamy inequality is shown to be stricter through some detailed examples.