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Quantum Engineering Year 2: Advanced Quantum Science Month 28Day 766

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Year 2·Month 28·Week 2

Day 766: Noise Models & Assumptions

Day 766 of 2,016~14 min read

Learning Objectives

•**Derive** the depolarizing channel and its properties
•**Analyze** the erasure channel and its high threshold
•**Model** biased noise with Z-dominant errors
•**Compare** thresholds across different noise models
•**Identify** how noise assumptions affect threshold theorems
•**Evaluate** realistic noise in experimental systems

Today's Schedule (7 hours)

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On this page

1 The Depolarizing Channel Mathematical Definition Kraus Representation Properties 2 Two-Qubit Depolarizing Channel Correlated vs Independent Errors 3 The Erasure Channel Definition Why Erasure Has High Threshold 4 Biased Noise Models Z-Biased Noise Threshold Enhancement 5 Pauli vs Non-Pauli Noise Pauli Channels Coherent Errors Conversion to Pauli 6 Threshold Dependence on Noise Model Threshold Comparison

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