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This lecture develops unitary transformations for qubits through rotations, reflections, phase shifts, and Hadamard operations. It also uses the Elitzur–Vaidman bomb to illustrate quantum measurement and allowable transformations.
Syllabus
Introduction
Experiment
Model
ElitzurVaidman Bomb
Classical Strategies
Bombs
Transformations
Linear Transformation
Example
Reflections
Hadamard
Phase Shift
Reflections as rotations
Exercises
Case bomb
Final state
Allowable transformations
Taught by
Ryan O'Donnell