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Quantum Engineering Year 2: Advanced Quantum Science Month 35Day 974

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Year 2·Month 35·Week 4

Day 974: Adaptive Ansatz Construction (ADAPT-VQE)

Day 974 of 2,016~14 min read

Learning Objectives

•Explain the limitations of fixed-structure ansatze in VQE
•Derive the gradient-based operator selection criterion in ADAPT-VQE
•Construct fermionic and qubit operator pools
•Implement the ADAPT-VQE algorithm for molecular systems
•Analyze convergence properties and circuit depth scaling
•Compare ADAPT-VQE against UCCSD and hardware-efficient approaches

Today's Schedule (7 hours)

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1 The Problem with Fixed Ansatze 2 The ADAPT-VQE Algorithm 3 Algorithm Pseudocode 4 Operator Pool Design 5 Convergence Analysis 6 Comparison with Other Ansatze 7 Practical Considerations Practical Applications Application to Molecular Systems

Day 973Day 974 of 2,016Day 975