def test_crz_decomposition_correctness(self, phi, tol):
"""Test that the decomposition of the controlled Z
qubit rotation is correct"""
expected = CRotz(phi)
obtained = CNOT @ np.kron(I, Rphi(-phi / 2)) @ CNOT @ np.kron(
I, Rphi(phi / 2))
assert np.allclose(expected, obtained, atol=tol, rtol=0)
def test_phase_shift(self, tol):
"""Test phase shift is correct"""
# test identity for theta=0
assert np.allclose(Rphi(0), np.identity(2), atol=tol, rtol=0)
# test arbitrary phase shift
phi = 0.5432
expected = np.array([[1, 0], [0, np.exp(1j * phi)]])
assert np.allclose(Rphi(phi), expected, atol=tol, rtol=0)
def test_phase_shift(self):
"""Test phase shift is correct"""
self.logTestName()
# test identity for theta=0
self.assertAllAlmostEqual(Rphi(0), np.identity(2), delta=self.tol)
# test arbitrary phase shift
phi = 0.5432
expected = np.array([[1, 0], [0, np.exp(1j * phi)]])
self.assertAllAlmostEqual(Rphi(phi), expected, delta=self.tol)
def U3(theta, phi, lam):
return Rphi(phi) @ Rphi(lam) @ Rot3(lam, theta, -lam)