Timed bit flip during repetition-code syndrome extraction
ID: timed-bit-flip-during-repetition-code-syndrome-extraction
Suppose the first ancilla records parity , then a fault of value flips , and the second ancilla records parity . For incoming bit-error pattern , the observed error syndrome is the displayed pair, while the final data error before recovery is . When , the observed syndrome differs from the actual data syndrome by . Applying the usual minimum-weight recovery leaves a nonzero syndrome, so the state is outside the code space even when the channel itself made no error. This is a timing-dependent failure of this simple extraction circuit, not a general obstruction to fault-tolerant quantum error correction.
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