Figure 2
Experimental demonstration of the algorithm.
We create the initial state 
with a fidelity of 0.99. From left to right is a bar representation of the density matrix for the state after the application of the Fourier transformation, UFT. (a) Obtained by quantum state tomography. (b) Applying the pulses that implement U6. (c) Applying the pulses that implement U2 (c). The two possible outcomes of the algorithm (d) 
for negative and 
for positive cyclic permutations. The experimental errors were quantified by the relation between signal and signal-to-noise ratio. For all of the reconstructed density matrices, the errors are always smaller than 6% (see Supplementary Material for details).
