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The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
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127
Nous proposons deux constructions systématiques de codes de correction de suppression pour protéger l'information quantique. Le premier fonctionne avec des qudits de n'importe quelle dimension l, qui est appelé l-adique, mais une seule suppression est corrigée et les codes construits sont asymptotiquement mauvais. Le second corrige plusieurs suppressions et peut construire des codes asymptotiquement bons. Le second permet également la conversion de codes quantiques basés sur un stabilisateur en codes de correction de suppression et une assistance à l'intrication.
Ryutaroh MATSUMOTO
Tokyo Institute of Technology,Aalborg University
Manabu HAGIWARA
Chiba University
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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 -