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Quantum EngineeringYear 1: Quantum Mechanics CoreMonth 24Day 662

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

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Year 1·Month 24·Week 3

Day 662: Three-Qubit Phase-Flip Code

Day 662 of 2,016~8 min read

Learning Objectives

  • •**Implement** the 3-qubit phase-flip code encoding
  • •**Understand** the Hadamard basis transformation
  • •**Construct** syndrome measurements for phase errors
  • •**Compare** with the bit-flip code structure
  • •**Apply** duality between X and Z errors

Today's Schedule (7 hours)

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On this page

1 The Phase Error Problem2 Hadamard Basis Review3 Phase-Flip Code Definition4 Encoding Circuit5 Error Effects6 Syndrome Measurement7 Why This Works8 Correction Procedure9 Syndrome Measurement Circuit10 Duality Bit-Flip vs Phase-Flip11 Why Cant We Correct Both12 Logical OperatorsWorked Example
Day 661Day 662 of 2,016Day 663