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Quantum Engineering Year 2: Advanced Quantum Science Month 30Day 824

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Year 2·Month 30·Week 2

Day 824: Multi-Patch Architectures

Day 824 of 2,016~20 min read

Learning Objectives

•**Design multi-patch layouts** for surface code processors
•**Route operations** between non-adjacent patches using ancilla channels
•**Schedule parallel operations** to maximize throughput
•**Analyze defect-based architectures** as alternatives to patches
•**Calculate space-time trade-offs** for different layout strategies
•**Optimize layouts** for specific quantum algorithms

Today's Schedule (7 hours)

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Week 118 Lattice Surgery Logical Gates Month 30 Surface Codes Semester 2A Error Correction Year 2 Advanced Quantum Science Schedule Overview Learning Objectives 1 Introduction Scaling Up Lattice Surgery From Single Gates to Algorithms Key Constraints 2 Patch Layout Strategies Linear Array 2D Grid Layout Interleaved Data-Ancilla Layout 3 Routing Algorithms The Routing Problem SWAP-Based Routing Teleportation-Based Routing Comparison 4 Parallel Gate Scheduling Gate Dependencies Layer-Based Scheduling Scheduling with Routing Time-Optimal vs Space-Optimal Scheduling 5 Defect-Based Architectures Beyond Patch-Based Layouts Defect Operations Advantages of Defect-Based Disadvantages 6 Worked Examples Example 1 Layout for 4-Qubit Circuit Example 2 Parallel CNOT Scheduling Example 3 Resource Estimation for Shors Algorithm 7 Practice Problems Problem Set A Direct Application Problem Set B Intermediate Problem Set C Challenging 8 Computational Lab Multi-Patch Layout Simulation 9 Summary Key Formulas Table Key Takeaways 10 Daily Checklist 11 Preview Day 825

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