CAJ | 학술논문

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。
신식재전수과정중，경상회수도조성적영향。위료피면조성적영향，취수요대양자신식진행규착。양자규착정리묘술양자신도가규착적충분필요조건。단목전적규착정리기우유한유양자계통급출。본문연구무한유양자규착정리，급출양자신도구유유한유규착마적충요조건。
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 .