Title :
The MacWilliams identity for quantum convolutional codes
Author :
Ching-Yi Lai ; Min-Hsiu Hsieh
Author_Institution :
Fac. of Eng. & Inf. Technol., Univ. of Technol., Sydney, NSW, Australia
fDate :
June 29 2014-July 4 2014
Abstract :
In this paper, we propose a definition of the dual code of a quantum convolutional code, with or without entanglement assistance. We then derive a MacWilliams identity for quantum convolutional codes. Along the way, we obtain a direct proof of the MacWilliams identity, first found by Gluesing-Luerssen and Schneider, in the setting of classical convolutional codes.
Keywords :
convolutional codes; dual codes; quantum entanglement; MacWilliams identity; direct proof; dual code; entanglement assistance; quantum convolutional code; Convolutional codes; Error correction codes; Quantum computing; Quantum entanglement; Vectors;
Conference_Titel :
Information Theory (ISIT), 2014 IEEE International Symposium on
Conference_Location :
Honolulu, HI
DOI :
10.1109/ISIT.2014.6874965
