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Equation 22 · Part 1 · Error Correction Is the Whole Problem in Quantum Computing

Symbol p

pp
pp

What this part means

well below pthp_{\mathrm{th}} , not marginally below it.

Its job in the formula

p is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Where the article explains it

The suppression is exponential in d but the prefactor matters enormously in practice, and the useful regime is reached only when p is well below pthp_{\mathrm{th}} , not marginally below it.

The passage around this formula

It does not promise that operating below threshold is sufficient. Below threshold, increasing d suppresses logical error. The suppression is exponential in d but the prefactor matters enormously in practice, and the useful regime is reached only when p is well below pthp_{\mathrm{th}} , not marginally below it. Near threshold, the exponent is small and the overhead explodes.

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Learn the underlying idea

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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