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Year 2·Month 30·Week 2

Day 823: Surface Code CNOT via Lattice Surgery

Day 823 of 2,016~20 min read

Learning Objectives

•**Derive the lattice surgery CNOT** from measurement-based quantum computation principles
•**Execute the ZZ-merge/XX-merge protocol** step-by-step with outcome tracking
•**Calculate Pauli frame corrections** for all measurement outcome combinations
•**Analyze the fault-tolerance** of the lattice surgery CNOT
•**Compare resource costs** with alternative CNOT implementations
•**Simulate the complete CNOT protocol** and verify correctness

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