Error Correction

First notions of Quantum Error Correction (QEC).

  • Codes able to correct a single error [2]: distance-3 Bacon–Shor, colour, five-qubit, heavy-hexagon, and surface codes, as well as continuous variable codes

  • See Google’s milestone “Logical qubit prototype” [2] in Google Quantum AI.

More to explore:

  • Quantum Error Correction, [B3] section 10.3,

  • Fault-tolerant Algorithms, [B3] section 10.6,

  • Error mitigation [M15], e.g. using Richardson extrapolation [124]

  • Recent advances:

    • Dynamically Generated Logical Qubits [58]

Complements: An Introduction » Quantum Computing » Noise & Errors