def test_arbitrary_rotation(self, tol):
"""Test arbitrary single qubit rotation is correct"""
# test identity for phi,theta,omega=0
assert np.allclose(Rot3(0, 0, 0), np.identity(2), atol=tol, rtol=0)
# expected result
def arbitrary_rotation(x, y, z):
"""arbitrary single qubit rotation"""
c = np.cos(y / 2)
s = np.sin(y / 2)
return np.array(
[
[np.exp(-0.5j * (x + z)) * c, -np.exp(0.5j * (x - z)) * s],
[np.exp(-0.5j * (x - z)) * s, np.exp(0.5j * (x + z)) * c],
]
)
a, b, c = 0.432, -0.152, 0.9234
assert np.allclose(Rot3(a, b, c), arbitrary_rotation(a, b, c), atol=tol, rtol=0)
def test_arbitrary_rotation(self):
"""Test arbitrary single qubit rotation is correct"""
self.logTestName()
# test identity for theta=0
self.assertAllAlmostEqual(Rot3(0, 0, 0), np.identity(2), delta=self.tol)
# expected result
def arbitrary_rotation(x, y, z):
"""arbitrary single qubit rotation"""
c = np.cos(y / 2)
s = np.sin(y / 2)
return np.array(
[
[np.exp(-0.5j * (x + z)) * c, -np.exp(0.5j * (x - z)) * s],
[np.exp(-0.5j * (x - z)) * s, np.exp(0.5j * (x + z)) * c],
]
)
a, b, c = 0.432, -0.152, 0.9234
self.assertAllAlmostEqual(
Rot3(a, b, c), arbitrary_rotation(a, b, c), delta=self.tol
)
def U3(theta, phi, lam):
return Rphi(phi) @ Rphi(lam) @ Rot3(lam, theta, -lam)