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(())))