New topological subsystem codes from semi-regular tessellations

Eduardo Brandani da Silva; Evandro Mazetto Brizola

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arXiv · 2402.18814

New topological subsystem codes from semi-regular tessellations

Eduardo Brandani da Silva·Evandro Mazetto Brizola

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Abstract

In this work, we present new constructions for topological subsystem codes using semi-regular Euclidean and hyperbolic tessellations. They give us new families of codes, and we also provide a new family of codes obtained through an already existing construction, due to Sarvepalli and Brown. We also prove new results that allow us to obtain the parameters of these new codes.

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Eduardo Brandani da Silva, Evandro Mazetto Brizola. 2024-02-29. New topological subsystem codes from semi-regular tessellations. https://arxiv.org/abs/2402.18814

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