Weight Calculation And Purity Identification Of Symplectic Self-orthogonal Codes

DOI

10.2991/csss-14.2014.131How to use a DOI?

Keywords

quantum error-correcting codes; symplectic self-orthogonal code; weight polynomial; pure codes

Abstract

The purity identification of quantum error-correcting codes and symplectic self-orthogonal is a pivotal problem in quantum code theory. This work is dedicated to some issues of symplectic codes. First, by the MacWillams identity, a fast algorithm to determine the weight polynomial of high-dimension symplectic codes is designed; second a solution to seek for the dual codes of symplectic codes is derived; third the effective method to identify the purity of symplectic codes is obtained; and at last constructions of symplectic self-orthogonal codes are given, resulted three impure symplectic self-orthogonal codes, the quantum codes stabilized by the three impure symplectic self-orthogonal codes are optimal. The above work may offer new methods for purity identification of symplectic self-orthogonal codes and quantum error-correcting codes.

Copyright

© 2014, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Kai Cao
AU  - Luobin Guo
AU  - Chaoyang Li
AU  - Yuxiang Zheng
AU  - Leinan He
AU  - Zhenpeng Zhao
PY  - 2014/06
DA  - 2014/06
TI  - Weight Calculation And Purity Identification Of Symplectic Self-orthogonal Codes
BT  - Proceedings of the 3rd International Conference on Computer Science and Service System
PB  - Atlantis Press
SP  - 558
EP  - 561
SN  - 1951-6851
UR  - https://doi.org/10.2991/csss-14.2014.131
DO  - 10.2991/csss-14.2014.131
ID  - Cao2014/06
ER  -