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Constructing Non-binary asymmetric quantum codes via Graphs

China Communications 2013年第2期10卷 33-41页

作者：马智冷日光魏正超钟淑琴 State key Laboratory of Mathematical Engineering and Advanced Computing Zhengzhou Information Science and Technology Institute

The theory of quantum error correcting codes is a primary tool for fighting decoherence and other quantum noise in quantum communication and quantum computation. Recently, the theory of quantum error correcting codes has developed rapidly and been extended to protect quantum information over asymmetric quantum channels, in which phase-shift and qubit-flip errors occur with different probabilities. In this paper, we generalize the construction of symmetric quantum codes via graphs (or matrices) to the asymmetric case, converting the construction of asymmetric quantum codes to finding matrices with some special properties. We also propose some asymmetric quantum Maximal Distance Separable (MDS) codes as examples constructed in this way.

关键词： asymmetric quantum codes quantum MDS codes graph construction

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Degenerate asymmetric quantum concatenated codes for correcting biased quantum errors

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Chinese Physics B 2021年第12期30卷 206-213页

作者： Ji-Hao Fan Jun Li Han-Wu Chen Wen-Jie Liu School of Electronic and Optical Engineering Nanjing University of Science and TechnologyNanjing 210094China School of Computer Science and Engineering Southeast UniversityNanjing 211189China School of Computer and Software Nanjing University of Information Science and TechnologyNanjing 210044China

In most practical quantum mechanical systems,quantum noise due to decoherence is highly biased towards *** quantum state suffers from phase flip noise much more seriously than from the bit flip *** this work,we construct new families of asymmetric quantum concatenated codes(AQCCs)to deal with such biased quantum *** construction is based on a novel concatenation scheme for constructing AQCCs with large asymmetries,in which classical tensor product codes and concatenated codes are utilized to correct phase flip noise and bit flip noise,*** generalize the original concatenation scheme to a more general case for better correcting degenerate ***,we focus on constructing nonbinary AQCCs that are highly *** to previous literatures,AQCCs constructed in this paper show much better parameter performance than existed ***,we design the specific encoding circuit of the *** is shown that our codes can be encoded more efficiently than standard quantum codes.

关键词： asymmetric quantum codes concatenated code quantum channel degenerate code

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