Constructing Quantum Error-Correcting Codes for pm-State Systems from Classical Error-Correcting Codes
Summary :
We generalize the construction of quantum error-correcting codes from F4-linear codes by Calderbank et al. to pm-state systems. Then we show how to determine the error from a syndrome. Finally we discuss a systematic construction of quantum codes with efficient decoding algorithms.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E83-A No.10 pp.1878-1883
- Publication Date
- 2000/10/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- Special Section PAPER (Special Section on Information Theory and Its Applications)
- Category
- Coding Theory
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Ryutaroh MATSUMOTO, Tomohiko UYEMATSU, "Constructing Quantum Error-Correcting Codes for pm-State Systems from Classical Error-Correcting Codes" in IEICE TRANSACTIONS on Fundamentals,
vol. E83-A, no. 10, pp. 1878-1883, October 2000, doi: .
Abstract: We generalize the construction of quantum error-correcting codes from F4-linear codes by Calderbank et al. to pm-state systems. Then we show how to determine the error from a syndrome. Finally we discuss a systematic construction of quantum codes with efficient decoding algorithms.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e83-a_10_1878/_p
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@ARTICLE{e83-a_10_1878,
author={Ryutaroh MATSUMOTO, Tomohiko UYEMATSU, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Constructing Quantum Error-Correcting Codes for pm-State Systems from Classical Error-Correcting Codes},
year={2000},
volume={E83-A},
number={10},
pages={1878-1883},
abstract={We generalize the construction of quantum error-correcting codes from F4-linear codes by Calderbank et al. to pm-state systems. Then we show how to determine the error from a syndrome. Finally we discuss a systematic construction of quantum codes with efficient decoding algorithms.},
keywords={},
doi={},
ISSN={},
month={October},}
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TY - JOUR
TI - Constructing Quantum Error-Correcting Codes for pm-State Systems from Classical Error-Correcting Codes
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1878
EP - 1883
AU - Ryutaroh MATSUMOTO
AU - Tomohiko UYEMATSU
PY - 2000
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E83-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 2000
AB - We generalize the construction of quantum error-correcting codes from F4-linear codes by Calderbank et al. to pm-state systems. Then we show how to determine the error from a syndrome. Finally we discuss a systematic construction of quantum codes with efficient decoding algorithms.
ER -
English
