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Quantum EngineeringYear 2: Advanced Quantum ScienceMonth 34Day 940

This content was created with AI assistance and may contain errors or inaccuracies. Always verify against authoritative academic sources.

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Year 2·Month 34·Week 3

Day 940: Zero-Noise Extrapolation - Noise Scaling and Richardson Extrapolation

Day 940 of 2,016~18 min read

Learning Objectives

  • •**Implement noise scaling** - Apply pulse stretching and gate folding to amplify noise
  • •**Apply Richardson extrapolation** - Use linear and polynomial fits to extract zero-noise values
  • •**Analyze extrapolation error** - Quantify uncertainty and optimal scale factor selection
  • •**Choose scaling strategies** - Select appropriate methods for different noise types
  • •**Optimize ZNE parameters** - Balance accuracy vs sampling cost
  • •**Implement ZNE in Qiskit/Mitiq** - Build practical ZNE pipelines

Today's Schedule (7 hours)

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On this page

1 Zero-Noise Extrapolation Fundamentals11 The ZNE Principle12 Noise Model Assumptions2 Noise Scaling Methods21 Pulse Stretching22 Gate Folding Unitary Folding23 Identity Insertion3 Richardson Extrapolation31 Linear Extrapolation32 Polynomial Extrapolation33 Richardson Coefficients4 Exponential Extrapolation5 Error Analysis51 Variance Amplification52 Optimal Noise Levels53 Extrapolation Bias6 Practical Considerations61 Scale Factor Selection62 Noise Type DependenceQuantum Computing ApplicationsVQE Energy EstimationQAOA OptimizationQuantum Chemistry
Day 939Day 940 of 2,016Day 941