中国物理B ›› 2012, Vol. 21 ›› Issue (7): 70201-070201.doi: 10.1088/1674-1056/21/7/070201

• GENERAL •    下一篇

Knotted pictures of the GHZ states on the surface of trivial torus

顾之雨a, 钱尚武b   

  1. a Physics Department, Capital Normal University, Beijing 100048, China;
    b School of Physics, Peking University, Beijing 100871, China
  • 收稿日期:2011-12-05 修回日期:2011-12-15 出版日期:2012-06-01 发布日期:2012-06-01

Knotted pictures of the GHZ states on the surface of trivial torus

Gu Zhi-Yu(顾之雨)a) and Qian Shang-Wu(钱尚武)b)†   

  1. a Physics Department, Capital Normal University, Beijing 100048, China;
    b School of Physics, Peking University, Beijing 100871, China
  • Received:2011-12-05 Revised:2011-12-15 Online:2012-06-01 Published:2012-06-01
  • Contact: Qian Shang-Wu E-mail:swqian@pku.edu.cn

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摘要： By means of the method of torus knot theory, this paper presents the complete process of obtaining the knotted pictures of eight GHZ states on the surface of trivial torus from the knotted pictures of eight basic three-qubit states on the surface of trivial torus. Thus, we obtain eight knotted pictures 121 linkage on the ordinary plane.

关键词: GHZ state, knotted picture, torus knot theory, torus link

Abstract: By means of the method of torus knot theory, this paper presents the complete process of obtaining the knotted pictures of eight GHZ states on the surface of trivial torus from the knotted pictures of eight basic three-qubit states on the surface of trivial torus. Thus, we obtain eight knotted pictures 121 linkage on the ordinary plane.

Key words: GHZ state, knotted picture, torus knot theory, torus link

中图分类号:  (Knot theory)

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03.65.Ud (Entanglement and quantum nonlocality) 03.67.Hk (Quantum communication)