Abstract

In this paper, we use the idea of quantum Graphic Cascade Coding, information security and quantum random coding to construct an immune noise channel, by using the normal state of pattern tree chart and forest chart, to make large diagonal matrices or blocks, in order to perform quantum coding operations under multiple degrees of freedom. Through calculation and analysis of different concatenated code channel capacity, we get the formula of different noise channels in multi-channel coherence information under the coder multiple degrees of freedom. By this, we can quickly calculate the coherence information of various concatenated codes in the channel, the approximation of the channel capacity and the noise margin of the channel transmission quantum, and analyze the different anti-noise performance of different cascaded codes in different parameter channels. And, thus, we can obtain the security regions where different noise channels can transmit quantum information.

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