Introduction

Quantum error correction protocols will play a central role in the realisation of quantum computing; the choice of error correction code will influence the full quantum computing stack, from the layout of qubits at the physical level to gate compilation strategies at the software level.

physical systems for qubits:

• photons
• trapped ions
• superconducting circuits
• spin in semiconductors

Pros & Cons

• Advantages:
• Challenges:
• shortcoming:
• limitation

Peter Shor 1995

proposing the first quantum error correction scheme.