I'm reading about the threshold theorem, which states that "a quantum computer with a physical error rate below a certain threshold can, through the application of quantum error correction schemes, suppress the logical error rate to arbitrarily low levels."

Now I know that decoherence leads to errors, and I know how to calculate decoherence rates, but I don't understand how I can take a decoherence rate (let's say $5 \mathrm{\mu s}$) and turn this into an error rate. I'm also not sure how to compare a given error rate to it's threshold and the threshold theorem.

Any ideas?


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