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Paper 1

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

M. B. Hastings

Year
2013
Journal
arXiv preprint
DOI
arXiv:1312.2546
arXiv
1312.2546

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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Paper 2

Fault tolerance with noisy and slow measurements and preparation.

Paz-Silva GA, Brennen GK, Twamley J.

Year
2010
Journal
Phys Rev Lett
DOI
10.1103/physrevlett.105.100501
arXiv
-

No abstract.

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