Yuan LI^* and Xingxiang LIU¹

Department of Communication Engineering, Shanghai Dianji University, Shanghai 200240, China
¹Department of Mathematics, Yan'an University, Shan'xi 716000, China

(Received August 24, 2009; Accepted January 6, 2010)

In this letter, we proposed a new family of graphical quantum stabilizer codes (QSCs) based on block Jacket transform and its fast construction approach. The approach provides great flexibility in designing a stabilizer with a large block length and a high efficiency in terms of recursive relations. According to the graph theory, the present quantum code construction method has a low coding complexity and the codes are asymptotically good.

Key words: graphical quantum code, quantum stabilizer codes, fast construction, Jacket matrix

^*E-mail address: yueele@gmail.com