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Quantum Error Correction Fault Tolerance

Decoding in Hyperbolic Spaces: LDPC Codes With Linear Rate and Efficient Error Correction

arXiv
Authors: M. B. Hastings

Year

2013

Paper ID

31520

Status

Preprint

Abstract Read

~2 min

Abstract Words

50

Citations

N/A

Abstract

We analyze the four dimensional toric code in a hyperbolic space and show that it has a classical error correction procedure which runs in almost linear time and can be parallelized to almost constant time, giving an example of a quantum LDPC code with linear rate and efficient error correction.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1312.2546 [2] arXiv https://arxiv.org/abs/1312.2546 [3] Publisher https://arxiv.org/abs/1312.2546

Local Citation Graph (Related-Paper Links)

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