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Quantum Engineering Year 0: Mathematical Foundations Month 4Day 97

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Year 0·Month 4·Week 2

Day 97: Computational Lab — Linear Transformations in Action

Day 97 of 2,016~17 min read

Today's Schedule (7 hours)

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Schedule Overview Lab Objectives Lab Part 1 Matrix Representations 3 hours 11 Linear Transformations as Functions 12 Common 2D Transformations 13 Kernel and Range Computation 14 Rank-Nullity Theorem Verification Lab Part 2 Quantum Operators 3 hours 21 Quantum Gates as Unitary Matrices 22 Verifying Unitarity 23 Quantum State Evolution 24 Two-Qubit Gates 25 Quantum Circuit Simulator Lab Part 3 Visualization Projects 15 hours 31 Visualizing 2D Transformations 32 Bloch Sphere Visualization Lab Exercises Exercise 1 Transformation Analysis Exercise 2 Quantum Gate Compiler Exercise 3 Entanglement Detection Exercise 4 Circuit Equivalence Lab Checklist QM Connection Summary Tomorrow Week 14 Review

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