<p>The monogamy relations characterize the distribution of quantum correlations among the multipartite quantum systems. We study the monogamy relations of the entanglement of assistance in <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(2\otimes 2\otimes d\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>2</mn> <mo>⊗</mo> <mn>2</mn> <mo>⊗</mo> <mi>d</mi> </mrow> </math></EquationSource> </InlineEquation> systems. We present explicitly the relations satisfied by the concurrence, the tangle, and the concurrence of assistance, which can be used to derive rigorous monogamy relations. Detailed examples are given to illustrate our results.</p>

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Monogamy inequalities of entanglement of assistance in \(2\otimes 2\otimes d\) systems

  • Xue-Na Zhu,
  • Gui Bao,
  • Zhi-Xiang Jin,
  • Shao-Ming Fei,
  • Tao Li

摘要

The monogamy relations characterize the distribution of quantum correlations among the multipartite quantum systems. We study the monogamy relations of the entanglement of assistance in \(2\otimes 2\otimes d\) 2 2 d systems. We present explicitly the relations satisfied by the concurrence, the tangle, and the concurrence of assistance, which can be used to derive rigorous monogamy relations. Detailed examples are given to illustrate our results.