2. Quantum Gates Circuits
Circuit Identities — Quiz
Test your understanding of circuit identities with 5 practice questions.
Practice Questions
Question 1
Which Euler decomposition expresses any single-qubit unitary $U$ (up to global phase)?
Question 2
What is the result of conjugating the rotation $R_X(\theta)$ by Pauli-$Z$ gates, i.e. $Z\,R_X(\theta)\,Z$?
Question 3
What is the result of conjugating the rotation $R_Z(\theta)$ by Pauli-$X$ gates, i.e. $X\,R_Z(\theta)\,X$?
Question 4
What is the result of conjugating the rotation $R_Y(\theta)$ by Pauli-$Z$ gates, i.e. $Z\,R_Y(\theta)\,Z$?
Question 5
Which circuit identity implements a controlled-$Y$ gate using one CNOT and single-qubit phase gates?