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Quantum Engineering Year 1: Quantum Mechanics Core Month 17Day 456

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Year 1·Month 17·Week 2

Day 456: The Variational Principle

Day 456 of 2,016~2 min read

Learning Objectives

•State and prove the variational principle
•Understand why E[ψ] ≥ E₀
•Identify when equality holds
•Set up variational calculations
•Connect to quantum optimization algorithms
•Recognize the power of rigorous bounds

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The Variational Principle Proof The Variational Method Why It Works For Unnormalized Wavefunctions Quantum Computing Connection VQE Variational Quantum Eigensolver Worked Example

Day 455Day 456 of 2,016Day 457