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Quantum Engineering Year 2: Advanced Quantum Science Month 29Day 811

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Year 2·Month 29·Week 4

Day 811: Advanced Topological Operations

Day 811 of 2,016~18 min read

Learning Objectives

•Describe twist defects and their properties in surface codes
•Implement logical gates via code deformation
•Compare surface codes with topological color codes
•Analyze transversal gates available in color codes
•Understand the promise of non-Abelian anyons for quantum computing
•Evaluate research frontiers in topological quantum computing
•Synthesize connections across topological QEC approaches

Today's Schedule (7 hours)

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What are Twist Defects Creating Twist Defects Twist Defect Properties The Key Effect XZ Conversion Code Deformation The Concept Types of Deformation Logical Gates via Deformation Deformation Timeline Topological Color Codes Introduction 2D Color Code Structure Color Code Parameters Transversal Gates in Color Codes 3D Color Codes The CCZ Gate Connection Between Codes Surface Color Code Mapping Code Switching Comparison Table Non-Abelian Anyons The Future Why Non-Abelian Fibonacci Anyons Ising Anyons Majorana Experimental Platforms The Grand Vision Research Frontiers Current Hot Topics 2025 Open Problems Industry Landscape

Day 810Day 811 of 2,016Day 812