def test_grouped_pauli_expectation(self): """ grouped pauli expectation test """ two_qubit_H2 = (-1.052373245772859 * I ^ I) + \ (0.39793742484318045 * I ^ Z) + \ (-0.39793742484318045 * Z ^ I) + \ (-0.01128010425623538 * Z ^ Z) + \ (0.18093119978423156 * X ^ X) wf = CX @ (H ^ I) @ Zero expect_op = PauliExpectation(group_paulis=False).convert(~StateFn(two_qubit_H2) @ wf) self.sampler._extract_circuitstatefns(expect_op) num_circuits_ungrouped = len(self.sampler._circuit_ops_cache) self.assertEqual(num_circuits_ungrouped, 5) expect_op_grouped = PauliExpectation(group_paulis=True).convert(~StateFn(two_qubit_H2) @ wf) sampler = CircuitSampler(BasicAer.get_backend('statevector_simulator')) sampler._extract_circuitstatefns(expect_op_grouped) num_circuits_grouped = len(sampler._circuit_ops_cache) self.assertEqual(num_circuits_grouped, 2)
class TestPauliExpectation(QiskitAquaTestCase): """Pauli Change of Basis Expectation tests.""" def setUp(self) -> None: super().setUp() backend = BasicAer.get_backend('qasm_simulator') self.sampler = CircuitSampler(backend, attach_results=True) self.expect = PauliExpectation() def test_pauli_expect_pair(self): """ pauli expect pair test """ op = (Z ^ Z) # wf = (Pl^Pl) + (Ze^Ze) wf = CX @ (H ^ I) @ Zero converted_meas = self.expect.convert(~StateFn(op) @ wf) self.assertAlmostEqual(converted_meas.eval(), 0, delta=.1) sampled = self.sampler.convert(converted_meas) self.assertAlmostEqual(sampled.eval(), 0, delta=.1) def test_pauli_expect_single(self): """ pauli expect single test """ paulis = [Z, X, Y, I] states = [Zero, One, Plus, Minus, S @ Plus, S @ Minus] for pauli, state in itertools.product(paulis, states): converted_meas = self.expect.convert(~StateFn(pauli) @ state) matmulmean = state.adjoint().to_matrix() @ pauli.to_matrix() @ state.to_matrix() self.assertAlmostEqual(converted_meas.eval(), matmulmean, delta=.1) sampled = self.sampler.convert(converted_meas) self.assertAlmostEqual(sampled.eval(), matmulmean, delta=.1) def test_pauli_expect_op_vector(self): """ pauli expect op vector test """ paulis_op = ListOp([X, Y, Z, I]) converted_meas = self.expect.convert(~StateFn(paulis_op)) plus_mean = (converted_meas @ Plus) np.testing.assert_array_almost_equal(plus_mean.eval(), [1, 0, 0, 1], decimal=1) sampled_plus = self.sampler.convert(plus_mean) np.testing.assert_array_almost_equal(sampled_plus.eval(), [1, 0, 0, 1], decimal=1) minus_mean = (converted_meas @ Minus) np.testing.assert_array_almost_equal(minus_mean.eval(), [-1, 0, 0, 1], decimal=1) sampled_minus = self.sampler.convert(minus_mean) np.testing.assert_array_almost_equal(sampled_minus.eval(), [-1, 0, 0, 1], decimal=1) zero_mean = (converted_meas @ Zero) np.testing.assert_array_almost_equal(zero_mean.eval(), [0, 0, 1, 1], decimal=1) sampled_zero = self.sampler.convert(zero_mean) np.testing.assert_array_almost_equal(sampled_zero.eval(), [0, 0, 1, 1], decimal=1) sum_zero = (Plus + Minus) * (.5 ** .5) sum_zero_mean = (converted_meas @ sum_zero) np.testing.assert_array_almost_equal(sum_zero_mean.eval(), [0, 0, 1, 1], decimal=1) sampled_zero_mean = self.sampler.convert(sum_zero_mean) # !!NOTE!!: Depolarizing channel (Sampling) means interference # does not happen between circuits in sum, so expectation does # not equal expectation for Zero!! np.testing.assert_array_almost_equal(sampled_zero_mean.eval(), [0, 0, 0, 1], decimal=1) for i, op in enumerate(paulis_op.oplist): mat_op = op.to_matrix() np.testing.assert_array_almost_equal(zero_mean.eval()[i], Zero.adjoint().to_matrix() @ mat_op @ Zero.to_matrix(), decimal=1) np.testing.assert_array_almost_equal(plus_mean.eval()[i], Plus.adjoint().to_matrix() @ mat_op @ Plus.to_matrix(), decimal=1) np.testing.assert_array_almost_equal(minus_mean.eval()[i], Minus.adjoint().to_matrix() @ mat_op @ Minus.to_matrix(), decimal=1) def test_pauli_expect_state_vector(self): """ pauli expect state vector test """ states_op = ListOp([One, Zero, Plus, Minus]) paulis_op = X converted_meas = self.expect.convert(~StateFn(paulis_op) @ states_op) np.testing.assert_array_almost_equal(converted_meas.eval(), [0, 0, 1, -1], decimal=1) sampled = self.sampler.convert(converted_meas) np.testing.assert_array_almost_equal(sampled.eval(), [0, 0, 1, -1], decimal=1) # Small test to see if execution results are accessible for composed_op in sampled: self.assertIn('counts', composed_op[1].execution_results) def test_pauli_expect_op_vector_state_vector(self): """ pauli expect op vector state vector test """ paulis_op = ListOp([X, Y, Z, I]) states_op = ListOp([One, Zero, Plus, Minus]) valids = [[+0, 0, 1, -1], [+0, 0, 0, 0], [-1, 1, 0, -0], [+1, 1, 1, 1]] converted_meas = self.expect.convert(~StateFn(paulis_op) @ states_op) np.testing.assert_array_almost_equal(converted_meas.eval(), valids, decimal=1) sampled = self.sampler.convert(converted_meas) np.testing.assert_array_almost_equal(sampled.eval(), valids, decimal=1) def test_not_to_matrix_called(self): """ 45 qubit calculation - literally will not work if to_matrix is somehow called (in addition to massive=False throwing an error)""" qs = 45 states_op = ListOp([Zero ^ qs, One ^ qs, (Zero ^ qs) + (One ^ qs)]) paulis_op = ListOp([Z ^ qs, (I ^ Z ^ I) ^ int(qs / 3)]) converted_meas = self.expect.convert(~StateFn(paulis_op) @ states_op) np.testing.assert_array_almost_equal(converted_meas.eval(), [[1, -1, 0], [1, -1, 0]]) def test_grouped_pauli_expectation(self): """ grouped pauli expectation test """ two_qubit_H2 = (-1.052373245772859 * I ^ I) + \ (0.39793742484318045 * I ^ Z) + \ (-0.39793742484318045 * Z ^ I) + \ (-0.01128010425623538 * Z ^ Z) + \ (0.18093119978423156 * X ^ X) wf = CX @ (H ^ I) @ Zero expect_op = PauliExpectation(group_paulis=False).convert(~StateFn(two_qubit_H2) @ wf) self.sampler._extract_circuitstatefns(expect_op) num_circuits_ungrouped = len(self.sampler._circuit_ops_cache) self.assertEqual(num_circuits_ungrouped, 5) expect_op_grouped = PauliExpectation(group_paulis=True).convert(~StateFn(two_qubit_H2) @ wf) sampler = CircuitSampler(BasicAer.get_backend('statevector_simulator')) sampler._extract_circuitstatefns(expect_op_grouped) num_circuits_grouped = len(sampler._circuit_ops_cache) self.assertEqual(num_circuits_grouped, 2) @unittest.skip(reason="IBMQ testing not available in general.") def test_ibmq_grouped_pauli_expectation(self): """ pauli expect op vector state vector test """ from qiskit import IBMQ p = IBMQ.load_account() backend = p.get_backend('ibmq_qasm_simulator') paulis_op = ListOp([X, Y, Z, I]) states_op = ListOp([One, Zero, Plus, Minus]) valids = [[+0, 0, 1, -1], [+0, 0, 0, 0], [-1, 1, 0, -0], [+1, 1, 1, 1]] converted_meas = self.expect.convert(~StateFn(paulis_op) @ states_op) sampled = CircuitSampler(backend).convert(converted_meas) np.testing.assert_array_almost_equal(sampled.eval(), valids, decimal=1) def test_multi_representation_ops(self): """ Test observables with mixed representations """ mixed_ops = ListOp([X.to_matrix_op(), H, H + I, X]) converted_meas = self.expect.convert(~StateFn(mixed_ops)) plus_mean = (converted_meas @ Plus) sampled_plus = self.sampler.convert(plus_mean) np.testing.assert_array_almost_equal(sampled_plus.eval(), [1, .5**.5, (1 + .5**.5), 1], decimal=1)