中国物理B ›› 2012, Vol. 21 ›› Issue (2): 20305-020305.doi: 10.1088/1674-1056/21/2/020305

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苟立丹,朱瑞晗   

  • 收稿日期:2011-04-17 修回日期:2011-11-09 出版日期:2012-01-30 发布日期:2012-01-30
  • 通讯作者: 苟立丹,gouly@sina.com E-mail:gouly@sina.com

A 9×9 matrix representation of Temperley–Lieb algebra and corresponding entanglement

Gou Li-Dan(苟立丹)† and Zhu Rui-Han(朱瑞晗)   

  1. School of Science, Changchun University of Science and Technology, Changchun 130022, China
  • Received:2011-04-17 Revised:2011-11-09 Online:2012-01-30 Published:2012-01-30
  • Contact: Gou Li-Dan,gouly@sina.com E-mail:gouly@sina.com
  • Supported by:
    Project supported by the Science Foundation of the Education Department of Jilin Province, China (Grant No. 2011JTY11).

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Abstract: We present the matrix U. The $9\times9$ U matrix is a representation of specialized Temperley-Lieb algebra. Based on which, a unitary $\check{R}$ matrix is generated via the Yang-Baxterization approach. The  $9\times9$$\check{R}$  matrix, a solution of the Yang-Baxter equation, is universal for quantum entanglement.

Key words: Temperley-Lieb algebra, Yang-Baxter equation, entanglement

中图分类号:  (Entanglement measures, witnesses, and other characterizations)

  • 03.67.Mn
03.65.Fd (Algebraic methods) 02.20.-a (Group theory)