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Equation 27 · Part 8 · Error Correction Is the Whole Problem in Quantum Computing

addition

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} ,
addition

What this part means

Add the term after the plus sign to the term or group before it.

Its job in the formula

Add the term after the plus sign to the term or group before it.

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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Learn the underlying idea

Addition combines quantities; subtraction measures the signed difference between them. Parentheses show what is combined before the rest of the expression is evaluated.

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Sources cited in the article section

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