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Quantum Engineering Year 1: Quantum Mechanics Core Month 22Day 615

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Year 1·Month 22·Week 4

Day 615: Complexity Analysis

Day 615 of 2,016~11 min read

Learning Objectives

•Count gates in Shor's algorithm
•Analyze circuit depth and parallelism
•Understand space-time tradeoffs
•Compare quantum vs classical complexity
•Evaluate cryptographic implications

Today's Schedule (7 hours)

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Overview of Complexity Gate Count Breakdown 1 Quantum Fourier Transform 2 Controlled Modular Exponentiation Total Gate Count Circuit Depth Analysis Space Complexity Classical Post-Processing Success Probability Comparison Table Cryptographic Implications Optimizations 1 Approximate QFT 2 Windowed Arithmetic 3 Quantum Carry-Lookahead 4 Semi-Classical Shor

Day 614Day 615 of 2,016Day 616