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

doi:10.1088/1674-1056/21/7/070201

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.

Keywords: GHZ state knotted picture torus knot theory torus link

Received: 05 December 2011
Revised: 15 December 2011
Accepted manuscript online:

PACS:	02.10.Kn	(Knot theory)
	03.65.Ud	(Entanglement and quantum nonlocality)
	03.67.Hk	(Quantum communication)

Corresponding Authors: Qian Shang-Wu
E-mail: swqian@pku.edu.cn

Cite this article:

Gu Zhi-Yu(顾之雨) and Qian Shang-Wu(钱尚武) Knotted pictures of the GHZ states on the surface of trivial torus 2012 Chin. Phys. B 21 070201

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

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