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Article Dans Une Revue Quantum Information & Computation Année : 2019

Golden codes: quantum LDPC codes built from regular tessellations of hyperbolic 4-manifolds

Résumé

We adapt a construction of Guth and Lubotzky [arXiv:1310.5555] to obtain a family of quantum LDPC codes with non-vanishing rate and minimum distance scaling like $n^{0.1}$ where $n$ is the number of physical qubits. Similarly as in [arXiv:1310.5555], our homological code family stems from hyperbolic 4-manifolds equipped with tessellations. The main novelty of this work is that we consider a regular tessellation consisting of hypercubes. We exploit this strong local structure to design and analyze an efficient decoding algorithm.
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hal-04311923 , version 1 (28-11-2023)

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Vivien Londe, Anthony Leverrier. Golden codes: quantum LDPC codes built from regular tessellations of hyperbolic 4-manifolds. Quantum Information & Computation, 2019, 19 (5&6), ⟨10.26421/QIC19.5-6⟩. ⟨hal-04311923⟩

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