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The Cartan decomposition works for "standard gates" but fails for random unitaries, via this test:

@danielreich When we wrote this routine back in the day, I remember us testing this rather extensively. So, I don't know why it's failing now. It's in no way urgent to fix this, but at some point we should look into this again.

• weylchamber version: 0.3.2
• Python version: 3.7
• Operating System: Windows 10

Description

Is there an easy way to connect the points in the WeylChamber plot with lines?

What I Did

cart_array = np.array(cart_coords)
n=cart_array.shape[0]
color=cm.gist_rainbow(np.linspace(0,1,n))

w = WeylChamber()
w.fig_width = 8.5
w.fig_height = 30
for x in range(0,cart_array.shape[0]):
    kwargs = {'marker': 'o'}
    w.scatter(cart_array[x][0][0],cart_array[x][0][1],cart_array[x][0][2], color=color[x], alpha=0.8, s=2, label='duration %d ns' % ts[x])
w.plot()
plt.legend(fontsize=3.5)

We need a routine that constructs the chi-states for the perfect entanglers functional. This can be directly adapted from the Fortran code in QDYN.

The documentation right now is very rudimentary. There's a lot more that could be said, and shown in the tutorial notebook.

@Basilewitsch, if you're doing things with the perfect entanglers functional, feel free to jump in with any documentation you might find interesting. I probably won't have time to extend this in the near future.