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Constructions of l-Adic t-Deletion-Correcting Quantum Codes
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Summary :
We propose two systematic constructions of deletion-correcting codes for protecting quantum inforomation. The first one works with qudits of any dimension l, which is referred to as l-adic, but only one deletion is corrected and the constructed codes are asymptotically bad. The second one corrects multiple deletions and can construct asymptotically good codes. The second one also allows conversion of stabilizer-based quantum codes to deletion-correcting codes, and entanglement assistance.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E105-A No.3 pp.571-575
- Publication Date
- 2022/03/01
- Publicized
- 2021/09/17
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.2021EAP1034
- Type of Manuscript
- PAPER
- Category
- Coding Theory
Authors
Ryutaroh MATSUMOTO
Tokyo Institute of Technology,Aalborg University
Manabu HAGIWARA
Chiba University
Keyword
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Ryutaroh MATSUMOTO, Manabu HAGIWARA, "Constructions of l-Adic t-Deletion-Correcting Quantum Codes" in IEICE TRANSACTIONS on Fundamentals,
vol. E105-A, no. 3, pp. 571-575, March 2022, doi: 10.1587/transfun.2021EAP1034.
Abstract: We propose two systematic constructions of deletion-correcting codes for protecting quantum inforomation. The first one works with qudits of any dimension l, which is referred to as l-adic, but only one deletion is corrected and the constructed codes are asymptotically bad. The second one corrects multiple deletions and can construct asymptotically good codes. The second one also allows conversion of stabilizer-based quantum codes to deletion-correcting codes, and entanglement assistance.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2021EAP1034/_p
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@ARTICLE{e105-a_3_571,
author={Ryutaroh MATSUMOTO, Manabu HAGIWARA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Constructions of l-Adic t-Deletion-Correcting Quantum Codes},
year={2022},
volume={E105-A},
number={3},
pages={571-575},
abstract={We propose two systematic constructions of deletion-correcting codes for protecting quantum inforomation. The first one works with qudits of any dimension l, which is referred to as l-adic, but only one deletion is corrected and the constructed codes are asymptotically bad. The second one corrects multiple deletions and can construct asymptotically good codes. The second one also allows conversion of stabilizer-based quantum codes to deletion-correcting codes, and entanglement assistance.},
keywords={},
doi={10.1587/transfun.2021EAP1034},
ISSN={1745-1337},
month={March},}
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TY - JOUR
TI - Constructions of l-Adic t-Deletion-Correcting Quantum Codes
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 571
EP - 575
AU - Ryutaroh MATSUMOTO
AU - Manabu HAGIWARA
PY - 2022
DO - 10.1587/transfun.2021EAP1034
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E105-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 2022
AB - We propose two systematic constructions of deletion-correcting codes for protecting quantum inforomation. The first one works with qudits of any dimension l, which is referred to as l-adic, but only one deletion is corrected and the constructed codes are asymptotically bad. The second one corrects multiple deletions and can construct asymptotically good codes. The second one also allows conversion of stabilizer-based quantum codes to deletion-correcting codes, and entanglement assistance.
ER -
English
