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Equation 27 · Part 7 · Error Correction Is the Whole Problem in Quantum Computing

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PL(d)  ≈  A(ppth)⌊(d+1)/2⌋,P_L(d) \;\approx\; A \left( \frac{p}{p_{\mathrm{th}}} \right)^{\left\lfloor (d+1)/2 \right\rfloor} ,
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What this part means

Approximately equal to; the equality is not exact.

Its job in the formula

Approximately equal to; the equality is not exact.

The passage around this formula

The practical form of the promise is a scaling law. Below threshold, the logical error rate per round of a distance- d code falls approximately as PL(d)  ≈  A(ppth)⌊(d+1)/2⌋P_L(d) \;\approx\; A \left( \frac{p}{p_{\mathrm{th}}} \right)^{\left\lfloor (d+1)/2 \right\rfloor} . so that each increase of the code distance by two multiplies the protection by a factor conventionally written

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A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the article section

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