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Quantum Error Correction Fault Tolerance
Thresholds for correcting errors, erasures, and faulty syndrome measurements in degenerate quantum codes
arXiv
Authors: Ilya Dumer, Alexey A. Kovalev, Leonid P. Pryadko
Year
2014
Paper ID
45810
Status
Preprint
Abstract Read
~2 min
Abstract Words
65
Citations
N/A
Abstract
We suggest a technique for constructing lower (existence) bounds for the fault-tolerant threshold to scalable quantum computation applicable to degenerate quantum codes with sublinear distance scaling. We give explicit analytic expressions combining probabilities of erasures, depolarizing errors, and phenomenological syndrome measurement errors for quantum LDPC codes with logarithmic or larger distances. These threshold estimates are parametrically better than the existing analytical bound based on percolation.
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- We suggest a technique for constructing lower (existence) bounds for the fault-tolerant threshold to scalable quantum computation applicable to degenerate quantum codes with...
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