Two new zero-dimensional qubit codes from bordered metacirculant construction

We construct qubit stabilizer codes with parameters 〚81,0,20〛2 and 〚94,0,22〛2 for the first time. We use symplectic self-dual additive codes over F4 built by modifying the adjacency matrices of suitable metacirculant graphs found by a randomized search procedure.

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Main Authors:	Seneviratne, Padmapani, Ezerman, Martianus Frederic
Other Authors:	School of Physical and Mathematical Sciences
Format:	Article
Language:	English
Published:	2022
Subjects:	Science::Mathematics::Applied mathematics::Information theory Metacirculant Graph Quantum Codes
Online Access:	https://hdl.handle.net/10356/155576
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Institution:	Nanyang Technological University
Language:	English

id	sg-ntu-dr.10356-155576
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spelling	sg-ntu-dr.10356-1555762023-02-28T19:42:24Z Two new zero-dimensional qubit codes from bordered metacirculant construction Seneviratne, Padmapani Ezerman, Martianus Frederic School of Physical and Mathematical Sciences Science::Mathematics::Applied mathematics::Information theory Metacirculant Graph Quantum Codes We construct qubit stabilizer codes with parameters 〚81,0,20〛2 and 〚94,0,22〛2 for the first time. We use symplectic self-dual additive codes over F4 built by modifying the adjacency matrices of suitable metacirculant graphs found by a randomized search procedure. Nanyang Technological University Accepted version Nanyang Technological University Grant Number 04INS000047C230GRT01 supports the80 research carried out by M. F. Ezerman. 2022-03-08T02:52:04Z 2022-03-08T02:52:04Z 2021 Journal Article Seneviratne, P. & Ezerman, M. F. (2021). Two new zero-dimensional qubit codes from bordered metacirculant construction. Discrete Mathematics, 344(9), 112491-. https://dx.doi.org/10.1016/j.disc.2021.112491 0012-365X https://hdl.handle.net/10356/155576 10.1016/j.disc.2021.112491 2-s2.0-85108239894 9 344 112491 en 4INS000047C230GRT01 Discrete Mathematics © 2021 Elsevier B.V. All rights reserved. This paper was published in Discrete Mathematics and is made available with permission of Elsevier B.V. application/pdf
institution	Nanyang Technological University
building	NTU Library
continent	Asia
country	Singapore Singapore
content_provider	NTU Library
collection	DR-NTU
language	English
topic	Science::Mathematics::Applied mathematics::Information theory Metacirculant Graph Quantum Codes
spellingShingle	Science::Mathematics::Applied mathematics::Information theory Metacirculant Graph Quantum Codes Seneviratne, Padmapani Ezerman, Martianus Frederic Two new zero-dimensional qubit codes from bordered metacirculant construction
description	We construct qubit stabilizer codes with parameters 〚81,0,20〛2 and 〚94,0,22〛2 for the first time. We use symplectic self-dual additive codes over F4 built by modifying the adjacency matrices of suitable metacirculant graphs found by a randomized search procedure.
author2	School of Physical and Mathematical Sciences
author_facet	School of Physical and Mathematical Sciences Seneviratne, Padmapani Ezerman, Martianus Frederic
format	Article
author	Seneviratne, Padmapani Ezerman, Martianus Frederic
author_sort	Seneviratne, Padmapani
title	Two new zero-dimensional qubit codes from bordered metacirculant construction
title_short	Two new zero-dimensional qubit codes from bordered metacirculant construction
title_full	Two new zero-dimensional qubit codes from bordered metacirculant construction
title_fullStr	Two new zero-dimensional qubit codes from bordered metacirculant construction
title_full_unstemmed	Two new zero-dimensional qubit codes from bordered metacirculant construction
title_sort	two new zero-dimensional qubit codes from bordered metacirculant construction
publishDate	2022
url	https://hdl.handle.net/10356/155576
_version_	1759852927519817728

Two new zero-dimensional qubit codes from bordered metacirculant construction

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