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Quantum Engineering Year 2: Advanced Quantum Science Month 32Day 886

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Year 2·Month 32·Week 3

Day 886: Lattice Surgery Scheduling

Day 886 of 2,016~19 min read

Learning Objectives

•**Map** logical Clifford gates to lattice surgery primitives
•**Construct** dependency graphs for surgery operations
•**Schedule** operations respecting spatial and temporal constraints
•**Manage** ancilla patch allocation and deallocation
•**Optimize** surgery schedules for minimum time or space
•**Analyze** the time cost of complex logical circuits

Today's Schedule (7 hours)

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Overview Schedule Learning Objectives Lattice Surgery Primitives Review Surface Code Patches Lattice Surgery Operations 1 Merge Multi-Patch Measurement 2 Split Patch Division 3 Patch RotationTwist Surgery Timing Mapping Logical Gates to Surgery Clifford Gates via Surgery CNOT via Lattice Surgery T Gate via Magic State Injection Instruction Dependency Graph Building the Dependency Graph Example Two-CNOT Circuit Surgery Operations DAG Topological Sorting Scheduling Algorithms ASAP Scheduling As Soon As Possible ALAP Scheduling As Late As Possible List Scheduling Surgery-Specific Scheduling Ancilla Patch Management Ancilla Lifecycle Allocation Strategies Static Allocation Dynamic Allocation Ancilla Sharing Space-Time Trade-offs The Space-Time Volume Trading Space for Time Optimal Schedule Worked Examples Example 1 CNOT Surgery Scheduling Example 2 Two Independent CNOTs Example 3 Dependent CNOTs Practice Problems Level 1 Direct Application Level 2 Intermediate Level 3 Challenging Computational Lab Summary Key Formulas Main Takeaways Daily Checklist Preview Day 887

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