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Introduce LER

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Andreas Tsouchlos
2026-04-29 20:31:41 +02:00
parent 76270695b9
commit 64cf0e2269
2 changed files with 7 additions and 2 deletions
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6
src/thesis/chapters/2_fundamentals.tex
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@@ -1660,6 +1660,12 @@ Algorithm \ref{alg:bpgd} shows this process.
Note that as the Tanner graph only has $n$ \acp{vn}, this is a Note that as the Tanner graph only has $n$ \acp{vn}, this is a
natural constraint on the maximum number of outer iterations of the algorithm. natural constraint on the maximum number of outer iterations of the algorithm.
Quantum degeneracy additionally necessitates some care in the way
error rates are computed in simulations.
We must consider the fact that multiple solutions are valid by
comparing the logical states, computed by measuring the logical operators.
This way, we obtain the \ac{ler}.
% TODO: Explain that setting the channel LLR to infinity is the same % TODO: Explain that setting the channel LLR to infinity is the same
% as a hard decision and ignoring the VN in the further decoding % as a hard decision and ignoring the VN in the further decoding
% tex-fmt: off % tex-fmt: off

3
src/thesis/chapters/3_fault_tolerant_qec.tex
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@@ -1040,9 +1040,8 @@ $p_\text{phys}$.
% Per-round LER % Per-round LER
% TODO: Introduce the logical error rate
Another aspect that is important to consider is the meaning of the Another aspect that is important to consider is the meaning of the
logical error rate in the context of a \ac{qec} system with multiple \ac{ler} in the context of a \ac{qec} system with multiple
rounds of syndrome measurements. rounds of syndrome measurements.
In order to facilitate the comparability of results obtained from In order to facilitate the comparability of results obtained from
simulations with different numbers of syndrome extraction rounds, we simulations with different numbers of syndrome extraction rounds, we