Equation 10 · Error Correction Is the Whole Problem in Quantum Computing
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An [[n, k, d]] code encodes k logical qubits into n physical qubits with distance d . The stabiliser generators are measured repeatedly. Because each commutes with every other and with the logical operators, measuring them extracts no information about which encoded state is present. What it extracts is whether an error has anticommuted with a given check — a single classical bit per generator, per round. That bit string is the syndrome.
Sources cited in the article section
- [4] Theory of fault-tolerant quantum computation ↗
- [12] Quantum error correction for quantum memories ↗
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