Single Error Correcting Quantum Codes for the Amplitude Damping Channel Based on Classical Codes over GF(7)
Summary :
The amplitude damping (AD) quantum channel is one of the models describing evolution of quantum states. The construction of quantum error correcting codes for the AD channel based on classical codes has been presented, and Shor et al. proposed a class of classical codes over F3 which are efficiently applicable to this construction. In this study, we expand Shor's construction to that over F7, and succeeded to construct an AD code that has better parameters than AD codes constructed by Shor et al.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E97-A No.11 pp.2247-2253
- Publication Date
- 2014/11/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E97.A.2247
- Type of Manuscript
- PAPER
- Category
- Coding Theory
Authors
Keisuke KODAIRA
Sophia University
Mihoko WADA
Sophia University
Tomoharu SHIBUYA
Sophia University
Keyword
Latest Issue
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Keisuke KODAIRA, Mihoko WADA, Tomoharu SHIBUYA, "Single Error Correcting Quantum Codes for the Amplitude Damping Channel Based on Classical Codes over GF(7)" in IEICE TRANSACTIONS on Fundamentals,
vol. E97-A, no. 11, pp. 2247-2253, November 2014, doi: 10.1587/transfun.E97.A.2247.
Abstract: The amplitude damping (AD) quantum channel is one of the models describing evolution of quantum states. The construction of quantum error correcting codes for the AD channel based on classical codes has been presented, and Shor et al. proposed a class of classical codes over F3 which are efficiently applicable to this construction. In this study, we expand Shor's construction to that over F7, and succeeded to construct an AD code that has better parameters than AD codes constructed by Shor et al.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E97.A.2247/_p
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@ARTICLE{e97-a_11_2247,
author={Keisuke KODAIRA, Mihoko WADA, Tomoharu SHIBUYA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Single Error Correcting Quantum Codes for the Amplitude Damping Channel Based on Classical Codes over GF(7)},
year={2014},
volume={E97-A},
number={11},
pages={2247-2253},
abstract={The amplitude damping (AD) quantum channel is one of the models describing evolution of quantum states. The construction of quantum error correcting codes for the AD channel based on classical codes has been presented, and Shor et al. proposed a class of classical codes over F3 which are efficiently applicable to this construction. In this study, we expand Shor's construction to that over F7, and succeeded to construct an AD code that has better parameters than AD codes constructed by Shor et al.},
keywords={},
doi={10.1587/transfun.E97.A.2247},
ISSN={1745-1337},
month={November},}
Copy
TY - JOUR
TI - Single Error Correcting Quantum Codes for the Amplitude Damping Channel Based on Classical Codes over GF(7)
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2247
EP - 2253
AU - Keisuke KODAIRA
AU - Mihoko WADA
AU - Tomoharu SHIBUYA
PY - 2014
DO - 10.1587/transfun.E97.A.2247
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E97-A
IS - 11
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - November 2014
AB - The amplitude damping (AD) quantum channel is one of the models describing evolution of quantum states. The construction of quantum error correcting codes for the AD channel based on classical codes has been presented, and Shor et al. proposed a class of classical codes over F3 which are efficiently applicable to this construction. In this study, we expand Shor's construction to that over F7, and succeeded to construct an AD code that has better parameters than AD codes constructed by Shor et al.
ER -
English
