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

M. B. Hastings

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.

Details

Publication typeArticle
Published inQIC, in press
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