Toponogov approximation

Approximate a unitary with linear optics using Toponogov's theorem¶

In [1]:

from qoptcraft.operators import qft
from qoptcraft.toponogov import toponogov

from qoptcraft.operators import qft from qoptcraft.toponogov import toponogov

We can easily approximate a unitary with a certain error using the function toponogov

In [2]:

modes = 3
photons = 2
unitary = qft(6)
approx_unitary, error = toponogov(unitary, modes, photons)

modes = 3 photons = 2 unitary = qft(6) approx_unitary, error = toponogov(unitary, modes, photons)

We can iterate for different seeds:

In [4]:

min_error = 10
for seed in range(30):
    approx_unitary, error = toponogov(unitary, modes, photons, seed=seed)
    if error < min_error:
        min_approx_unitary = approx_unitary
        min_error = error

min_error = 10 for seed in range(30): approx_unitary, error = toponogov(unitary, modes, photons, seed=seed) if error < min_error: min_approx_unitary = approx_unitary min_error = error

In [ ]:

min_error

min_error

Out[ ]:

2.1494761713199346