Title :
Fast Stabilizer Quantum Codes Using Pauli Block Matrices
Author :
Huang, ChenRrong ; Guo, Ying ; Lee, MoonHo
Author_Institution :
Dept. of Math. Comput. Sci., Nanning Teachers Coll., Nanning
Abstract :
Based on the fast block transform of Pauli matrices, we show how Pauli block matrix can simplify the coding theory of quantum error-correction. These SQCs are generated from some abelian subgroups of Pauli group that are composed of different rows of the yielded Pauli block matrix, and hence have advantages of being fast constructed with asymptotically good behaviors.
Keywords :
error correction; group theory; matrix algebra; transforms; Pauli block matrices; Pauli group; abelian subgroups; coding theory; fast block transform; fast stabilizer quantum codes; quantum error-correction; Computer science; Educational institutions; Error correction; Image coding; Information science; Mathematics; Parity check codes; Quantum computing; Quantum mechanics; Turbo codes; Stabilizer quantum codes; quantum computation;
Conference_Titel :
Natural Computation, 2008. ICNC '08. Fourth International Conference on
Conference_Location :
Jinan
Print_ISBN :
978-0-7695-3304-9
DOI :
10.1109/ICNC.2008.407
