Title :
Quantum LDPC Codes from Balanced Incomplete Block Designs
Author :
Djordjevic, Ivan B.
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Arizona, Tucson, AZ
fDate :
5/1/2008 12:00:00 AM
Abstract :
We present a series of structured LDPC codes suitable for use in quantum error correction. Those codes belong to the class of dual-containing Calderbank-Shor-Steane (CSS) codes. The component CSS code is designed using the combinatorial object known as balanced incomplete block design (BIBD) with an even index. The quantum LDPC codes have the rate around 0.9. Several examples of quantum LDPC codes from BIBDs from unity index, extended by addition of an all- ones column, are introduced as well. To improve the BER performance, we employed the method of removing the cycles
Keywords :
block codes; error correction codes; error statistics; parity check codes; BER performance; Calderbank-Shor-Steane code; balanced incomplete block design; quantum LDPC code; quantum error correction; Bipartite graph; Bit error rate; Cascading style sheets; Computer errors; Error correction codes; Helium; Information processing; Parity check codes; Quantum computing; Quantum mechanics;
Journal_Title :
Communications Letters, IEEE
DOI :
10.1109/LCOMM.2008.080083
