How does single-shot QEC work when we want to terminate an experiment?
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My understanding of single-shot decoding is that for some codes, we may decode each round of stabilizer measurements and our correction will not introduce too large an error for the next round. So the next round can also be done in one shot and we essentially keep passing on some "small" error to the next round. How does this process actually end in a real experiment? For example, in this paper , the authors say We use $p^{th}(N)$ to denote the threshold of a code-decoder family given $N$ cycles
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How does single-shot QEC work when we want to terminate an experiment?
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My understanding of single-shot decoding is that for some codes, we may decode each round of stabilizer measurements and our correction will not introduce too large an error for the next round. So the next round can also be done in one shot and we essentially keep passing on some "small" error to the next round.
How does this process actually end in a real experiment? For example, in this paper, the authors say
We use
p
th
(N)
𝑝
𝑡
ℎ
(
𝑁
)
to denote the threshold of a code-decoder family given
N
𝑁
cycles of qubit noise, noisy syndrome extraction and single-shot decoding, with the
N
th
𝑁
𝑡
ℎ
cycle followed by a single round of noiseless syndrome extraction and decoding
But that last noiseless round is not practical. How do we actually end a single-shot decoding experiment? Do we have to do
d
𝑑
rounds, where
d
𝑑
is the distance of the code?
error-correctionstabilizer-code
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