Additive asymmetric quantum codes

We present a general construction of asymmetric quantum codes based on additive codes under the trace Hermitian inner product. Various families of additive codes over F4 are used in the construction of many asymmetric quantum codes over F4.

Bibliographic Details
Main Authors: Ezerman, Martianus Frederic, Ling, San, Sole, Patrick
Other Authors: School of Physical and Mathematical Sciences
Format: Journal Article
Language:English
Published: 2012
Subjects:
Online Access:https://hdl.handle.net/10356/94022
http://hdl.handle.net/10220/7503
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author Ezerman, Martianus Frederic
Ling, San
Sole, Patrick
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Ezerman, Martianus Frederic
Ling, San
Sole, Patrick
author_sort Ezerman, Martianus Frederic
collection NTU
description We present a general construction of asymmetric quantum codes based on additive codes under the trace Hermitian inner product. Various families of additive codes over F4 are used in the construction of many asymmetric quantum codes over F4.
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spelling ntu-10356/940222023-02-28T19:38:04Z Additive asymmetric quantum codes Ezerman, Martianus Frederic Ling, San Sole, Patrick School of Physical and Mathematical Sciences DRNTU::Engineering::Computer science and engineering::Mathematics of computing We present a general construction of asymmetric quantum codes based on additive codes under the trace Hermitian inner product. Various families of additive codes over F4 are used in the construction of many asymmetric quantum codes over F4. Accepted version 2012-02-06T03:15:00Z 2019-12-06T18:49:25Z 2012-02-06T03:15:00Z 2019-12-06T18:49:25Z 2011 2011 Journal Article Ezerman, M. F., Ling, S. & Sole, P. (2011). Additive Asymmetric Quantum Codes. IEEE Transactions on Information Theory, 57(8), 5536-5550. https://hdl.handle.net/10356/94022 http://hdl.handle.net/10220/7503 10.1109/TIT.2011.2159040 en IEEE transactions on information theory © 2011 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The published version is available at: http://dx.doi.org/10.1109/TIT.2011.2159040 . application/pdf
spellingShingle DRNTU::Engineering::Computer science and engineering::Mathematics of computing
Ezerman, Martianus Frederic
Ling, San
Sole, Patrick
Additive asymmetric quantum codes
title Additive asymmetric quantum codes
title_full Additive asymmetric quantum codes
title_fullStr Additive asymmetric quantum codes
title_full_unstemmed Additive asymmetric quantum codes
title_short Additive asymmetric quantum codes
title_sort additive asymmetric quantum codes
topic DRNTU::Engineering::Computer science and engineering::Mathematics of computing
url https://hdl.handle.net/10356/94022
http://hdl.handle.net/10220/7503
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AT lingsan additiveasymmetricquantumcodes
AT solepatrick additiveasymmetricquantumcodes