def test_hadamard_pauli_identities(self):
X = qc.PauliX()
Y = qc.PauliY()
Z = qc.PauliZ()
H = qc.Hadamard()
self.assertLess(max_absolute_difference(H(X(H)), Z), epsilon)
self.assertLess(max_absolute_difference(H(Z(H)), X), epsilon)
self.assertLess(max_absolute_difference(H(Y(H)), -Y), epsilon)
self.assertLess(max_absolute_difference(X(Y(X)), -Y), epsilon)
def test_rotations_equal_pauli(self):
X = qc.PauliX()
Y = qc.PauliY()
Z = qc.PauliZ()
Rx = qc.RotationX(np.pi)
Ry = qc.RotationY(np.pi)
Rz = qc.RotationZ(np.pi)
self.assertLess(max_absolute_difference(1j * Rx, X), epsilon)
self.assertLess(max_absolute_difference(1j * Ry, Y), epsilon)
self.assertLess(max_absolute_difference(1j * Rz, Z), epsilon)
def test_pauli_identities(self):
X = qc.PauliX()
Y = qc.PauliY()
Z = qc.PauliZ()
self.assertLess(max_absolute_difference(X(Y), 1j * Z), epsilon)
self.assertLess(max_absolute_difference(Y(X), -1j * Z), epsilon)
self.assertLess(max_absolute_difference(Y(Z), 1j * X), epsilon)
self.assertLess(max_absolute_difference(Z(Y), -1j * X), epsilon)
self.assertLess(max_absolute_difference(Z(X), 1j * Y), epsilon)
self.assertLess(max_absolute_difference(X(Z), -1j * Y), epsilon)