Journal
PHYSICAL REVIEW A
Volume 81, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.81.022317
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Funding
- Australian Research Council
- EPSRC
- CQCT
- EPSRC [EP/C524640/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/C524640/1] Funding Source: researchfish
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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 of its effects on thresholds. We also discuss some of the implications of degeneracy for estimating phase transition temperatures in the random bond Ising model.
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