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Quantum EngineeringYear 2: Advanced Quantum ScienceMonth 30Day 835

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 30·Week 4

Day 835: Below-Threshold Operation Analysis

Day 835 of 2,016~18 min read

Learning Objectives

  • •**Interpret the error suppression factor** - Calculate and explain λ = 2.14
  • •**Analyze logical error rates** - Compare d=3, 5, 7 performance quantitatively
  • •**Verify below-threshold operation** - Apply statistical tests for threshold crossing
  • •**Evaluate logical qubit lifetime** - Compare logical vs. physical coherence
  • •**Project scaling behavior** - Extrapolate to higher code distances
  • •**Assess experimental methodology** - Understand memory experiment protocol

Today's Schedule (7 hours)

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On this page

1 The Threshold Theorem Revisited11 Fundamental Scaling12 Error Suppression Factor2 Willow Experimental Results21 Memory Experiment Protocol22 Measured Logical Error Rates23 Error Suppression Factor3 Extracting Physical Error Rate31 Inverting the Scaling Relation32 Comparison with Numerical Simulations4 Logical Qubit Lifetime41 Definition42 Willow Results5 Statistical Analysis Methods51 Confidence Intervals52 Hypothesis Testing6 Error Rate Per Cycle Analysis61 Extracting Per-Cycle Error Rate62 Detailed Error Model7 Implications for Scaling71 Projections to Higher Distance72 Target Error Rates for Algorithms
Day 834Day 835 of 2,016Day 836