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Distance coefficient power parameter in QEC scheme #2212

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merged 3 commits into from
Mar 6, 2025

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@msoeken msoeken commented Mar 5, 2025

This PR extends the formula template for QEC logical error rate formulas from:

$$ a \left(\frac{p}{p_{\mathrm{th}}}\right)^{\frac{d+1}{2}} $$

to

$$ a d^k \left(\frac{p}{p_{\mathrm{th}}}\right)^{\frac{d+1}{2}} $$

where $k$ is the new distance coefficient power discussed in arXiv:2411.10406, Section III.B, page 25.

For $k = 0$, the default, the formula remains unchanged compared to the current one. However, changing $k$ to other values allows to model a different error correction behavior, as motivated by the paper.

The parameter is called distance_coefficient_power or distanceCoefficientPower in the JSON parameter. It is also added to the Python RE parameter utility structure (together with max_code_distance which was absent so far).

@msoeken msoeken changed the title Adds distance coefficient power parameter to QEC scheme Distance coefficient power parameter in QEC scheme Mar 5, 2025
@msoeken msoeken added this pull request to the merge queue Mar 6, 2025
Merged via the queue into main with commit a3aaf4f Mar 6, 2025
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@msoeken msoeken deleted the msoeken/distance-coefficient-power branch March 6, 2025 17:41
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3 participants