The MacWilliams identity for quantum convolutional codes

Publisher:
IEEE
Publication Type:
Conference Proceeding
Citation:
2014 IEEE International Symposium on Information Theory (ISIT), 2014, pp. 911 - 915
Issue Date:
2014
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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.
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