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Correspondence Between GHZ States and Oriented Links in Knot Theory

Correspondence Between GHZ States and Oriented Links in Knot Theory
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摘要 This article generalizes our previous results for a quantum system of two nodes to a quantum system ofm(m ≥ 2) nodes. It shows that there is a one to one correspondence between 2m GHZ states for a quantum system ofm(m ≥ 2) nodes and 2m oriented links of the linkage N1 in knot theory, where N = 4 C2m = 2m(m - 1) is the numberof crossings of the link with m components, the subscript 1 denotes the order of the unoriented m components link withN crossings, i.e. the first type, actually the simplest type.
机构地区 physics Department
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2002年第10期421-423,共3页 理论物理通讯(英文版)
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参考文献5

  • 1[1]S.W. QIAN and Z.Y. GU, Commun. Theor. Phys. (Beijing,China) 37 (2002) 659.
  • 2[2]L.H. Kauffman, Knots and Physics, second ed., World Scientific, Singapore (1993); H. Kleinert, Path Integrals inQuantum Mechanics and Polymer Physics, World Scientifie, Singapore (1990).
  • 3[3]S.W. QIAN and Z.Y. GU, Commun, Theor. Phys. (Beijing,China) 35 (2001) 431.
  • 4[4]G. Mahler and V.A. Weberrufz, Quantum Networks, second, 修回 and enlarged edition, Springer (1998).
  • 5[5]C.H. Bennett, et al., Phys. Rev. A54 (1996) 3824.

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