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Qldpc Advanced Quantum Codes
Golden codes: quantum LDPC codes built from regular tessellations of hyperbolic 4-manifolds
arXiv
Authors: Vivien Londe, Anthony Leverrier
Year
2017
Paper ID
2564
Status
Preprint
Abstract Read
~2 min
Abstract Words
79
Citations
N/A
Abstract
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 n0.1 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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- This paper contributes to the qLDPC & Advanced Quantum Codes research area in the Quantum Articles archive.
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- 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...
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