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Year 2·Month 35·Week 1

Day 954: Quantum Phase Estimation Review

Day 954 of 2,016~16 min read

Learning Objectives

•**Derive the QPE algorithm** from quantum Fourier transform principles
•**Analyze precision requirements** relating ancilla count to eigenvalue accuracy
•**Calculate success probabilities** for eigenvalue estimation
•**Design controlled unitary operations** for Hamiltonian simulation
•**Connect QPE to HHL** understanding how eigenvalue extraction enables inversion
•**Implement QPE circuits** in Qiskit with detailed analysis

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