def test_state_transformations_no_frame(self):
"""Test frame transformations with no frame."""
frame = Frame(Array(np.zeros(2)))
t = 0.123
y = Array([1.0, 1j])
out = frame.state_into_frame(t, y)
self.assertAllClose(out, y)
out = frame.state_out_of_frame(t, y)
self.assertAllClose(out, y)
t = 100.12498
y = Array(np.eye(2))
out = frame.state_into_frame(t, y)
self.assertAllClose(out, y)
out = frame.state_out_of_frame(t, y)
self.assertAllClose(out, y)
def _test_state_out_of_frame(self,
t,
frame_op,
y,
y_in_frame_basis=False,
return_in_frame_basis=False):
evals, U = np.linalg.eigh(1j * frame_op)
evals = -1j * Array(evals)
frame = Frame(frame_op)
value = frame.state_out_of_frame(t, y, y_in_frame_basis,
return_in_frame_basis)
expected = y
if not y_in_frame_basis:
expected = U.conj().transpose() @ expected
expected = np.diag(np.exp(t * evals)) @ expected
if not return_in_frame_basis:
expected = U @ expected
self.assertAllClose(value, expected, rtol=1e-10, atol=1e-10)