Entanglement-assisted Quantum Codes of Distance Four Constructed from Caps in PG(5,4) and PG(6,4)

DOI

10.2991/icfcce-14.2014.38How to use a DOI?

Keywords

EAQECCs, maximal entanglement, quaternary code, cap.

Abstract

The entanglement-assisted (EA) formalism is a generalization of the standard stabilizer formalism, and it can transform classical linear quaternary codes into entanglement-assisted quantum error correcting codes (EAQECCs) by using of shared entangled qubits between the sender and the receiver. In this work, we give elementary recursive constructions of special quaternary codes of length n and dual distance four that constructed from known caps in projective space PG(5,4) and PG(6,4) for all length 6 n 283. Consequently, good maximal entanglement EAQECCs of minimum distance four for such length n are constructed from the obtained quaternary 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  - Qiang Fu
AU  - Ruihu Li
AU  - Gen Xu
AU  - Luobin Guo
PY  - 2014/03
DA  - 2014/03
TI  - Entanglement-assisted Quantum Codes of Distance Four Constructed from Caps in PG(5,4) and PG(6,4)
BT  - Proceedings of the 2014 International Conference on Future Computer and Communication Engineering
PB  - Atlantis Press
SP  - 153
EP  - 156
SN  - 1951-6851
UR  - https://doi.org/10.2991/icfcce-14.2014.38
DO  - 10.2991/icfcce-14.2014.38
ID  - Fu2014/03
ER  -