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Quantum Engineering Year 1: Quantum Mechanics Core Month 13Day 345

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Year 1·Month 13·Week 2

Day 345: State Collapse — The Post-Measurement State

Day 345 of 2,016~20 min read

Learning Objectives

•State the collapse postulate and explain its physical meaning
•Construct projection operators for non-degenerate and degenerate eigenspaces
•Calculate post-measurement states for arbitrary observables
•Predict outcomes of sequential measurements
•Handle degenerate eigenvalues correctly
•Connect collapse to the quantum Zeno effect

Today's Schedule (7 hours)

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On this page

1 The Collapse Postulate What Happens After Measurement 2 The Projection Operator Formulation 3 Why Projection 4 Repeated Measurements 5 Degenerate Eigenvalues 6 Example Spin-1 System 7 Sequential Measurements Non-Commuting Observables 8 The Quantum Zeno Effect Quantum Computing Connection Measurement-Based Reset Mid-Circuit Measurement Quantum Error Correction Measurement-Based Quantum Computing

Day 344Day 345 of 2,016Day 346