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Error Correction and Degeneracy in Surface Codes Suffering Loss · Around

2009

Error Correction and Degeneracy in Surface Codes Suffering Loss

Stace, T. M., Barrett, S. D.

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Many proposals for quantum information processing are subject to detectable loss errors.

In this paper, we give a detailed account of recent results in which we showed that topological quantum memories can simultaneously tolerate both loss errors and computational errors, with a graceful tradeoff between the threshold for each.
We further discuss a number of subtleties that arise when implementing error correction on topological memories.
We particularly focus on the role played by degeneracy in the matching algorithms, and present a systematic study its effects on thresholds.

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