Title :
A finite Gilbert-Varshamov bound for pure stabilizer quantum codes
Author :
Feng, Keqin ; Ma, Zhi
Author_Institution :
Dept. of Math. Sci., Tsinghua Univ., Beijing, China
Abstract :
A finite Gilbert-Varshamov (GV) bound for pure stabilizer (binary and nonbinary) quantum error correcting codes is presented in analogy to the GV bound for classical codes by using several enumerative results in finite unitary geometry. From this quantum GV bound we obtain several new binary quantum codes in a nonconstructive way having better parameters than the known codes.
Keywords :
binary codes; error correction codes; geometry; finite Gilbert-Varshamov bound; finite unitary geometry; nonbinary error correcting codes; pure stabilizer quantum codes; Error correction codes; Geometry; Hamming weight; Information security; Information theory; Laboratories; Quantum mechanics; Sufficient conditions; 211;Varshamov; 65; Finite fields; GV; bound; finite unitary geometry; quantum Gilbert&#; quantum codes;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2004.838088
