2. Quantum Gates Circuits

Universal Sets — Quiz

Test your understanding of universal sets with 5 practice questions.

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Practice Questions

Question 1

How many real parameters are required to specify an arbitrary unitary operator in SU(2)?

Question 2

Why are universal gate sets in quantum computing defined on SU(2^n) rather than U(2^n)?

Question 3

Which minimal set of single-qubit Hamiltonians is sufficient to generate the full group SU(2) via exponentiation and commutation?

Question 4

Does the two-qubit controlled-Z gate CZ=diag(1,1,1,−1), together with arbitrary single-qubit gates, form a universal gate set for quantum computation?

Question 5

How many real parameters are needed to specify an arbitrary unitary in SU(4)?