3. Quantum Algorithms

Quantum Fourier — Quiz

Test your understanding of quantum fourier with 5 practice questions.

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Practice Questions

Question 1

Which of the following gives the matrix element of the $n$-qubit QFT operator in the computational basis?

Question 2

Approximate QFT can reduce its gate count to which complexity by omitting small‐angle rotations?

Question 3

When applying QFT to a periodic quantum state of period $r$ in an $N$‐dimensional register, the measured output $y$ will most likely satisfy which condition?

Question 4

What is the matrix representation of the single‐qubit rotation gate $R_k$ used in QFT?

Question 5

The QFT diagonalizes which type of operator in the computational basis?