Nested Quantum Error Correction Codes via Subgraphs |
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Authors: | Yuan Li Chunlei Ji Mantao Xu |
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Affiliation: | 1. Communication Engineering, Shanghai Dianji University, Shanghai, 200240, China 2. School of Computing, University of Eastern Finland, 80101, Joensuu, Finland
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Abstract: | Because of its directness and simplicity, using graph is a worthy researching approach to construct quantum error correction codes. Nested graphical quantum code is a special class of stabilizer codes. In this letter, by making uses of the entanglement of several subgraphs, we proposed a novel construction method of generator matrices of graphical quantum nested codes, and families of corresponding nested graphical quantum codes. |
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