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.
Main Authors: | , , |
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Format: | Journal Article |
Language: | English |
Published: |
2012
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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. |
first_indexed | 2024-10-01T07:02:10Z |
format | Journal Article |
id | ntu-10356/94022 |
institution | Nanyang Technological University |
language | English |
last_indexed | 2024-10-01T07:02:10Z |
publishDate | 2012 |
record_format | dspace |
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 |
work_keys_str_mv | AT ezermanmartianusfrederic additiveasymmetricquantumcodes AT lingsan additiveasymmetricquantumcodes AT solepatrick additiveasymmetricquantumcodes |