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

Published 9 Dec 2013 in quant-ph | (1312.2546v1)

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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Authors (1)

M. B. Hastings

Citations (19)

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