Expected output:

The QFT on |5> = |101> produces equal measurement probabilities
with non-trivial phase structure.

Expected output for 1024 shots, approximately:

000: about 128
001: about 128
010: about 128
011: about 128
100: about 128
101: about 128
110: about 128
111: about 128

The QFT of a computational-basis state |k> is:

  (1/sqrt(N)) sum_j exp(2*pi*i*k*j/N) |j>

Every output basis state has amplitude magnitude 1/sqrt(8), so every
output probability is 1/8. The phases differ, but direct Z-basis
measurement does not show them.

The QFT is useful as a subroutine in phase estimation, Shor's
algorithm, and quantum counting, where later interference converts
phase information into measurable bit strings.