def test_identity(self):
n_qubits = 5
transmed_i = reverse_jordan_wigner(self.identity, n_qubits)
expected_i = FermionOperator(())
self.assertTrue(transmed_i == expected_i)
retransmed_i = jordan_wigner(transmed_i)
self.assertTrue(self.identity == retransmed_i)
def test_jw_convention(self):
"""Test that the Jordan-Wigner convention places the Z-string on
lower indices."""
qubit_op = QubitOperator('Z0 X1')
transformed_op = reverse_jordan_wigner(qubit_op)
expected_op = FermionOperator('1^')
expected_op += FermionOperator('1')
self.assertTrue(transformed_op == expected_op)
def test_zero(self):
n_qubits = 5
transmed_i = reverse_jordan_wigner(QubitOperator(), n_qubits)
expected_i = FermionOperator()
self.assertTrue(transmed_i == expected_i)
retransmed_i = jordan_wigner(transmed_i)
expected_i = QubitOperator()
self.assertTrue(expected_i == retransmed_i)
def test_z(self):
pauli_z = QubitOperator(((2, 'Z'), ))
transmed_z = reverse_jordan_wigner(pauli_z)
expected = (FermionOperator(()) + FermionOperator(
((2, 1), (2, 0)), -2.))
self.assertTrue(transmed_z == expected)
retransmed_z = jordan_wigner(transmed_z)
self.assertTrue(pauli_z == retransmed_z)
def test_xy(self):
xy = QubitOperator(((4, 'X'), (5, 'Y')), -2.j)
transmed_xy = reverse_jordan_wigner(xy)
retransmed_xy = jordan_wigner(transmed_xy)
expected1 = -2j * (FermionOperator(((4, 1), ), 1j) - FermionOperator(
((4, 0), ), 1j))
expected2 = (FermionOperator(((5, 1), )) - FermionOperator(((5, 0), )))
expected = expected1 * expected2
self.assertTrue(xy == retransmed_xy)
self.assertTrue(
normal_ordered(transmed_xy) == normal_ordered(expected))
def test_yy(self):
yy = QubitOperator(((2, 'Y'), (3, 'Y')), 2.)
transmed_yy = reverse_jordan_wigner(yy)
retransmed_yy = jordan_wigner(transmed_yy)
expected1 = -(FermionOperator(((2, 1), ), 2.) + FermionOperator(
((2, 0), ), 2.))
expected2 = (FermionOperator(((3, 1), )) - FermionOperator(((3, 0), )))
expected = expected1 * expected2
self.assertTrue(yy == retransmed_yy)
self.assertTrue(
normal_ordered(transmed_yy) == normal_ordered(expected))
def test_yx(self):
yx = QubitOperator(((0, 'Y'), (1, 'X')), -0.5)
transmed_yx = reverse_jordan_wigner(yx)
retransmed_yx = jordan_wigner(transmed_yx)
expected1 = 1j * (FermionOperator(((0, 1), )) + FermionOperator(
((0, 0), )))
expected2 = -0.5 * (FermionOperator(((1, 1), )) + FermionOperator(
((1, 0), )))
expected = expected1 * expected2
self.assertTrue(yx == retransmed_yx)
self.assertTrue(
normal_ordered(transmed_yx) == normal_ordered(expected))
def test_xx(self):
xx = QubitOperator(((3, 'X'), (4, 'X')), 2.)
transmed_xx = reverse_jordan_wigner(xx)
retransmed_xx = jordan_wigner(transmed_xx)
expected1 = (FermionOperator(((3, 1), ), 2.) - FermionOperator(
((3, 0), ), 2.))
expected2 = (FermionOperator(((4, 1), ), 1.) + FermionOperator(
((4, 0), ), 1.))
expected = expected1 * expected2
self.assertTrue(xx == retransmed_xx)
self.assertTrue(
normal_ordered(transmed_xx) == normal_ordered(expected))
def test_term(self):
transmed_term = reverse_jordan_wigner(self.term)
retransmed_term = jordan_wigner(transmed_term)
self.assertTrue(self.term == retransmed_term)
def test_x(self):
pauli_x = QubitOperator(((2, 'X'), ))
transmed_x = reverse_jordan_wigner(pauli_x)
retransmed_x = jordan_wigner(transmed_x)
self.assertTrue(pauli_x == retransmed_x)
def test_reverse_jordan_wigner(self):
transmed_operator = reverse_jordan_wigner(self.qubit_operator)
retransmed_operator = jordan_wigner(transmed_operator)
self.assertTrue(self.qubit_operator == retransmed_operator)
def test_yzxz(self):
yzxz = QubitOperator(((0, 'Y'), (1, 'Z'), (2, 'X'), (3, 'Z')))
transmed_yzxz = reverse_jordan_wigner(yzxz)
retransmed_yzxz = jordan_wigner(transmed_yzxz)
self.assertTrue(yzxz == retransmed_yzxz)
def test_reverse_jw_linearity(self):
term1 = QubitOperator(((0, 'X'), (1, 'Y')), -0.5)
term2 = QubitOperator(((0, 'Y'), (1, 'X'), (2, 'Y'), (3, 'Y')), -1j)
op12 = reverse_jordan_wigner(term1) - reverse_jordan_wigner(term2)
self.assertTrue(op12 == reverse_jordan_wigner(term1 - term2))
def test_reverse_jw_too_few_n_qubits(self):
with self.assertRaises(ValueError):
reverse_jordan_wigner(self.operator_a, 0)
def test_bad_type(self):
with self.assertRaises(TypeError):
reverse_jordan_wigner(3)
def test_y(self):
pauli_y = QubitOperator(((2, 'Y'), ))
transmed_y = reverse_jordan_wigner(pauli_y)
retransmed_y = jordan_wigner(transmed_y)
self.assertTrue(pauli_y == retransmed_y)
def test_identity_jwterm(self):
self.assertTrue(
FermionOperator(()) == reverse_jordan_wigner(QubitOperator(())))