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Quantum Engineering Year 2: Advanced Quantum Science Month 28Day 779

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Year 2·Month 28·Week 4

Day 779: Lattice Surgery Operations

Day 779 of 2,016~18 min read

Learning Objectives

•**Explain merge and split operations** on surface code patches
•**Implement logical CNOT** through lattice surgery joint measurements
•**Analyze time overhead** of lattice surgery versus braiding
•**Describe twist defect** encoding and operations
•**Design lattice surgery circuits** for multi-qubit Clifford operations
•**Optimize surgery schedules** to minimize space-time volume

Today's Schedule (7 hours)

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On this page

1 Introduction to Lattice Surgery Advantages of Lattice Surgery 2 Surface Code Patch Basics 3 Merge Operation Rough Merge Z-type Smooth Merge X-type 4 Split Operation Split Process 5 Lattice Surgery CNOT Step-by-Step Protocol 6 Time Overhead Analysis CNOT Time Cost Comparison with Braiding 7 Twist Defects Twist Defect Properties Twist Defect Braiding 8 Multi-Qubit Operations ZZZ Measurement Arbitrary Pauli Products 9 Routing and Scheduling Quantum Mechanics Connection Measurement-Based Quantum Computing Topological Protection

Day 778Day 779 of 2,016Day 780