Constructing Quantum Error-Correcting Codes for p~m-State Systems from Classical Error-Correcting Codes

Ryutaroh Matsumoto; Tomohiko Uyematsu

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Constructing Quantum Error-Correcting Codes for p~m-State Systems from Classical Error-Correcting Codes

机译：从经典纠错码构造p〜m状态系统的量子纠错码

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摘要

We generalize the construction of quantum error-correcting codes from F_4-linear codes by Calderband et al. to p~m-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.

机译：我们从Calderband等人的F_4-线性码中概括出量子纠错码的构造。到PM状态系统。然后，我们展示如何从综合症中确定错误。最后，我们讨论了使用有效解码算法的量子代码的系统构造。

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《IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences》 |2000年第10期|p.1878-1883|共6页
作者
Ryutaroh Matsumoto; Tomohiko Uyematsu;
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原文格式 PDF
正文语种 eng
中图分类无线电电子学、电信技术;
关键词
quantum codes; stabilizer codes; additive codes;

机译：量子码稳定器代码;加性码;

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1. Fault-tolerant preparation of stabilizer states for quantum Calderbank-Shor-Steane codes by classical error-correcting codes [J] . Ching-Yi Lai, Yi-Cong Zheng, Todd A. Brun Physical Review, A . 2017,第3aPta1期

机译：通过经典纠错码对Quantum CalderBank-Shor-Steane代码的稳定器状态的容错制备
2. ENTANGLEMENT-ASSISTED QUANTUM ERROR-CORRECTING CODES CONSTRUCTED FROM IRREGULAR REPEAT ACCUMULATE CODES [J] . Wang YJ, Bai BM, Zhao WB, International journal of quantum information . 2009,第7期

机译：由不规则重复累积码构成的纠缠辅助量子纠错码
3. Correlated Quantum Walks In Optical Lattices, Holographic Quantum Error-Correcting Codes, Valence-Bond States And Weak Nonlinearities, Entangled Microwave Photon States, Photon Emission From A Cavity-Coupled Double Quantum Dot, Classical Simulation Of Qua [J] . K.N.P. Kumar Advances in Physics Theories and Applications . 2013,第4期

机译：光学晶格中的相关量子游动，全息量子纠错码，价键态和弱非线性，纠缠的微波光子态，腔耦合双量子点的光子发射，Qua的经典模拟
4. THREE QUANTUM ERROR-CORRECTING CODES CONSTRUCTED FROM SELF-ORTHOGONAL CODES OVER GF(4) [C] . Yuena Ma, Ruihu Li, Xuejun Zhao, International Symposium on Intelligent Signal Processing and Communication Systems . 2007

机译：由GF（4）的自正交码构建的三个量子纠错码
5. Good additive cyclic quantum error-correcting codes. [D] . Luo, Ai. 2004

机译：良好的加性循环量子纠错码。
6. No accident: genetic codes freeze in error-correcting patterns of the standard genetic code. [O] . David H Ardell, Guy Sella 2002

机译：绝非偶然：遗传密码会冻结在标准遗传密码的纠错模式中。
7. Constructing quantum error-correcting codes for p^m-state systems from classical error-correcting codes [O] . Matsumoto, Ryutaroh, Uyematsu, Tomohiko 2000

机译：构造p ^ m态系统的量子纠错码经典的纠错码

Constructing Quantum Error-Correcting Codes for p~m-State Systems from Classical Error-Correcting Codes

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