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无限维系统中的量子纠错定理

Theory of Quantum Error-Correction in Infinite-Dimensional Quantum System
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摘要 信息在传输过程中,经常会受到噪声的影响。为了避免噪声的影响,就需要对量子信息进行纠错。量子纠错定理描述量子信道可纠错的充分必要条件。但目前的纠错定理基于有限维量子系统给出。本文研究无限维量子纠错定理,给出量子信道具有有限维纠错码的充要条件。 Information is often affected by noise during transmission. In order to avoid the effect of noise,it is needed to correct the quantum information. The current quantum error-correc- tion theory gives the sufficient and necessary conditions for the error-correction of quantum chan- nel in finite dimensional quantum systems. In this paper, the quantum error-correction theory in infinite dimensional quantum systems was studied, and the necessary and sufficient conditions were given for the error-correction of quantum channel with finite dimensional error correcting codes.
出处 《太原理工大学学报》 CAS 北大核心 2015年第4期480-482,共3页 Journal of Taiyuan University of Technology
基金 国家自然科学基金项目资助:纠缠破坏信道和量子测量的代数结构和几何特征(11201329)
关键词 量子信道 量子纠错 编码 quantum channel quantum error-correction infinite dimensional quantum systems
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