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Quantum Engineering Year 2: Advanced Quantum Science Month 29Day 810

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Year 2·Month 29·Week 4

Day 810: Transversal and Non-Transversal Gates

Day 810 of 2,016~17 min read

Learning Objectives

•Identify which gates are transversal in surface codes
•State and prove the Eastin-Knill theorem limitations
•Implement logical T-gate via magic state injection
•Design magic state distillation protocols
•Analyze T-factory resource requirements
•Calculate overhead for universal computation
•Compare surface code to other approaches for non-Clifford gates

Today's Schedule (7 hours)

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Transversal Gates Surface Code Transversal Gates Transversal Hadamard The Eastin-Knill Theorem Statement Implications Why T-gate Magic State Injection The Magic State T-Gate from Magic State Why This Works Magic State Distillation The Problem The Solution Distillation The 15-to-1 Protocol Distillation Rounds Other Distillation Protocols T-Factory Design Architecture Resource Analysis T-Gate Overhead Universal Computation Cost Full Gate Set Circuit Compilation Example 100-Qubit Algorithm

Day 809Day 810 of 2,016Day 811