3. Consider a single qubit operator U that is unitary but also Hermitian with eigenvalues ±1. It is both a gate and an observable. Show that the following circuit measures the observable U in the following sense: we want a measurement result that indicates one of the two eigenvalues of U and leaves |vout) in a state corresponding to that eigenvector. 「つ I tout >

3. Consider a single qubit operator U that is unitary but also Hermitian with eigenvalues ±1. It is both a gate and an observable. Show that the following circuit measures the observable U in the following sense: we want a measurement result that indicates one of the two eigenvalues of U and leaves |vout) in a state corresponding to that eigenvector. 「つ I tout >

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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