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.
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2022
|
| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/155576 |
| _version_ | 1826109579821318144 |
|---|---|
| author | Seneviratne, Padmapani Ezerman, Martianus Frederic |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Seneviratne, Padmapani Ezerman, Martianus Frederic |
| author_sort | Seneviratne, Padmapani |
| collection | NTU |
| 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. |
| first_indexed | 2024-10-01T02:20:33Z |
| format | Journal Article |
| id | ntu-10356/155576 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T02:20:33Z |
| publishDate | 2022 |
| record_format | dspace |
| spelling | ntu-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 |
| 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 |
| title | 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_short | Two new zero-dimensional qubit codes from bordered metacirculant construction |
| title_sort | two new zero dimensional qubit codes from bordered metacirculant construction |
| topic | Science::Mathematics::Applied mathematics::Information theory Metacirculant Graph Quantum Codes |
| url | https://hdl.handle.net/10356/155576 |
| work_keys_str_mv | AT seneviratnepadmapani twonewzerodimensionalqubitcodesfromborderedmetacirculantconstruction AT ezermanmartianusfrederic twonewzerodimensionalqubitcodesfromborderedmetacirculantconstruction |