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Quantum Error Correction. Daniel Gottesman Perimeter Institute. Now we will review some fundamental ideas to create codes. Barriers to Quantum Error Correction. 1. Measurement of error destroys superpositions. 2. No-cloning theorem prevents repetition. - PowerPoint PPT Presentation
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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
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