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New classes of quantum codes on closed orientable surfaces

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In this paper we construct two classes of binary quantum error-correcting codes on closed orientable surfaces. These codes are derived from self-dual orientable embeddings of complete bipartite graphs and complete… Click to show full abstract

In this paper we construct two classes of binary quantum error-correcting codes on closed orientable surfaces. These codes are derived from self-dual orientable embeddings of complete bipartite graphs and complete multipartite graphs on the corresponding closed orientable surfaces. We also show a table comparing the rate of these quantum codes when fixing the minimum distance to 3 and 4.

Keywords: classes quantum; quantum codes; orientable surfaces; codes closed; closed orientable; new classes

Journal Title: Cryptography and Communications
Year Published: 2018

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