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Knotted Picture of a Quantum Network of Two Nodes

Knotted Picture of a Quantum Network of Two Nodes
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摘要 This articlle discusses the variation of the knotted picture of the quantum pure state {X} = α[↑↓> + β[↑↓>with the wariation of the complex coeffieients α and β It is shown that there are three kinds of link that correspond to three different ranks of the matrix of covariance correlation tensor, i.e., the zero rank corresponds to trivial link, the rank one corresponds to the two-component link with two crossings, and the rank three corresponds to the two-component link with four crossings. This article discusses the variation of the knotted picture of the quantum pure state with the variation of the complex coefficients α and β. It is shown that there are three kinds of link that correspond to three different ranks of the matrix of covariance correlation tensor, i.e., the zero rank corresponds to trivial link, the rank one corresponds to the two-component link with two crossings, and the rank three corresponds to the two-component link with four crossings.
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2004年第2期201-204,共4页 理论物理通讯(英文版)
关键词 量子纠缠态 双体量子纯净态 分量连接 量子网络 方差相关张量矩阵 量子论 quantum entanglement two-component unoriented link quantum pure state for two bodies
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参考文献9

  • 1[1]S.W. Qian and Z.Y. Gu, J. Phys. A: Math. Gen. 35 (2002)3733.
  • 2[2]S.W. Qian and Z.Y. Gu, Commun. Theor. Phys. (Beijing,China) 37 (2002) 659.
  • 3[3]S.W. Qian and Z.Y. Gu, Commun. Theor. Phys. (Beijing,China) 38 (2002) 421.
  • 4[4]S.W. Qian and Z.Y. Gu, Commun. Theor. Phys. (Beijing,China) 39 (2003) 15.
  • 5[5]Z.Y. Gu and S.W. Qian, Commun. Theor. Phys. (Beijing,China) 39 (2003) 421.
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  • 9[9]G. Mahler and V.A. Weberrufz, Quantum Networks, 2nd.ed., Springer, Berlin, New York (1998).

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