Quantum Error Quantum Error CorrectionCorrection

• Daniel Gottesman

• Perimeter Institute

Now we will review some fundamental

ideas to create codes

Barriers to Quantum ErrorCorrection

• 1. Measurement of error destroys superpositions.

• 2. No-cloning theorem prevents repetition.

• 3. Must correct multiple types of errors (e.g., bit flip and phase errors).

• 4. How can we correct continuous errors and decoherence?

Measurementdestroys Superpositions?

Main good intuition

Correcting All Single-Qubit Errors

These main principles can be now applied to create

new codes