Title :
Quantum stabilizer codes from difference sets
Author :
Yixuan Xie ; Jinhong Yuan ; Malaney, Robert
Author_Institution :
Sch. of Electr. Eng. & Telecommun., Univ. of New South Wales, Sydney, NSW, Australia
Abstract :
In this work we have developed a new method to construct general quantum stabilizer codes of variable block size by adopting the notion of a difference set. The proposed method comprises an efficient way to obtain the difference set, and from that set the construction of a quantum stabilizer code, which we refer to as a DSS (Difference Set Stabilizer) code. Our efficient method to generate the difference set requires no computer search, instead only a single parameter is required to generate the set.
Keywords :
error correction codes; quantum communication; set theory; DSS; difference set stabilizer code; general quantum stabilizer codes; quantum error correcting code; variable block size; Bismuth; Decision support systems; Decoding; Educational institutions; Error correction codes; Quantum mechanics;
Conference_Titel :
Information Theory Proceedings (ISIT), 2013 IEEE International Symposium on
Conference_Location :
Istanbul
DOI :
10.1109/ISIT.2013.6620281