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Quantum Engineering Year 1: Quantum Mechanics Core Month 13Day 346

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Year 1·Month 13·Week 2

Day 346: Expectation Values — The Quantum Average

Day 346 of 2,016~18 min read

Learning Objectives

•Calculate expectation values using ⟨Â⟩ = ⟨ψ|Â|ψ⟩
•Compute variance and standard deviation of observables
•Interpret expectation values as experimental averages
•Relate quantum expectation values to classical limits
•Calculate expectation values in different representations
•Apply uncertainty concepts to prepare for the uncertainty principle

Today's Schedule (7 hours)

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On this page

1 What Do We Actually Measure 2 Derivation from the Born Rule 3 Properties of Expectation Values 4 Variance and Standard Deviation 5 Eigenstates Have Zero Uncertainty 6 Expectation Values in Different Representations 7 Connection to Classical Mechanics 8 Important Examples Example Spin-12 Expectation Values Example Harmonic Oscillator Ground State Quantum Computing Connection Expectation Value Estimation Measuring Pauli Expectation Values Variational Quantum Eigensolver VQE Quantum Phase Estimation

Day 345Day 346 of 2,016Day 347