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Quantum Engineering Year 1: Quantum Mechanics Core Month 22Day 613

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Year 1·Month 22·Week 4

Day 613: Continued Fractions

Day 613 of 2,016~11 min read

Learning Objectives

•Understand continued fraction representation
•Compute continued fraction expansions
•Calculate convergents efficiently
•Apply continued fractions to extract periods
•Analyze when the method succeeds

Today's Schedule (7 hours)

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Motivation from QPE Continued Fraction Representation Computing Continued Fractions Convergents Key Theorem for Shors Algorithm Algorithm for Period Extraction Properties of Convergents When Multiple Candidates Arise

Day 612Day 613 of 2,016Day 614