def test_to_matrix(self):
"""to matrix text """
np.testing.assert_array_equal(X.to_matrix(),
Operator.from_label('X').data)
np.testing.assert_array_equal(Y.to_matrix(),
Operator.from_label('Y').data)
np.testing.assert_array_equal(Z.to_matrix(),
Operator.from_label('Z').data)
op1 = Y + H
np.testing.assert_array_almost_equal(op1.to_matrix(),
Y.to_matrix() + H.to_matrix())
op2 = op1 * .5
np.testing.assert_array_almost_equal(op2.to_matrix(),
op1.to_matrix() * .5)
op3 = (4 - .6j) * op2
np.testing.assert_array_almost_equal(op3.to_matrix(),
op2.to_matrix() * (4 - .6j))
op4 = op3.tensor(X)
np.testing.assert_array_almost_equal(
op4.to_matrix(), np.kron(op3.to_matrix(), X.to_matrix()))
op5 = op4.compose(H ^ I)
np.testing.assert_array_almost_equal(
op5.to_matrix(), np.dot(op4.to_matrix(), (H ^ I).to_matrix()))
op6 = op5 + PrimitiveOp(Operator.from_label('+r').data)
np.testing.assert_array_almost_equal(
op6.to_matrix(),
op5.to_matrix() + Operator.from_label('+r').data)
def test_circuit_op_to_matrix(self):
""" test CircuitOp.to_matrix """
qc = QuantumCircuit(1)
qc.rz(1.0, 0)
qcop = CircuitOp(qc)
np.testing.assert_array_almost_equal(
qcop.to_matrix(), scipy.linalg.expm(-0.5j * Z.to_matrix()))
def test_evals(self):
""" evals test """
# pylint: disable=no-member
# TODO: Think about eval names
self.assertEqual(Z.eval('0').eval('0'), 1)
self.assertEqual(Z.eval('1').eval('0'), 0)
self.assertEqual(Z.eval('0').eval('1'), 0)
self.assertEqual(Z.eval('1').eval('1'), -1)
self.assertEqual(X.eval('0').eval('0'), 0)
self.assertEqual(X.eval('1').eval('0'), 1)
self.assertEqual(X.eval('0').eval('1'), 1)
self.assertEqual(X.eval('1').eval('1'), 0)
self.assertEqual(Y.eval('0').eval('0'), 0)
self.assertEqual(Y.eval('1').eval('0'), -1j)
self.assertEqual(Y.eval('0').eval('1'), 1j)
self.assertEqual(Y.eval('1').eval('1'), 0)
with self.assertRaises(ValueError):
Y.eval('11')
with self.assertRaises(ValueError):
(X ^ Y).eval('1111')
with self.assertRaises(ValueError):
Y.eval((X ^ X).to_matrix_op())
# Check that Pauli logic eval returns same as matrix logic
self.assertEqual(PrimitiveOp(Z.to_matrix()).eval('0').eval('0'), 1)
self.assertEqual(PrimitiveOp(Z.to_matrix()).eval('1').eval('0'), 0)
self.assertEqual(PrimitiveOp(Z.to_matrix()).eval('0').eval('1'), 0)
self.assertEqual(PrimitiveOp(Z.to_matrix()).eval('1').eval('1'), -1)
self.assertEqual(PrimitiveOp(X.to_matrix()).eval('0').eval('0'), 0)
self.assertEqual(PrimitiveOp(X.to_matrix()).eval('1').eval('0'), 1)
self.assertEqual(PrimitiveOp(X.to_matrix()).eval('0').eval('1'), 1)
self.assertEqual(PrimitiveOp(X.to_matrix()).eval('1').eval('1'), 0)
self.assertEqual(PrimitiveOp(Y.to_matrix()).eval('0').eval('0'), 0)
self.assertEqual(PrimitiveOp(Y.to_matrix()).eval('1').eval('0'), -1j)
self.assertEqual(PrimitiveOp(Y.to_matrix()).eval('0').eval('1'), 1j)
self.assertEqual(PrimitiveOp(Y.to_matrix()).eval('1').eval('1'), 0)
pauli_op = Z ^ I ^ X ^ Y
mat_op = PrimitiveOp(pauli_op.to_matrix())
full_basis = list(map(''.join, itertools.product('01', repeat=pauli_op.num_qubits)))
for bstr1, bstr2 in itertools.product(full_basis, full_basis):
# print('{} {} {} {}'.format(bstr1, bstr2, pauli_op.eval(bstr1, bstr2),
# mat_op.eval(bstr1, bstr2)))
np.testing.assert_array_almost_equal(pauli_op.eval(bstr1).eval(bstr2),
mat_op.eval(bstr1).eval(bstr2))
gnarly_op = SummedOp([(H ^ I ^ Y).compose(X ^ X ^ Z).tensor(Z),
PrimitiveOp(Operator.from_label('+r0I')),
3 * (X ^ CX ^ T)], coeff=3 + .2j)
gnarly_mat_op = PrimitiveOp(gnarly_op.to_matrix())
full_basis = list(map(''.join, itertools.product('01', repeat=gnarly_op.num_qubits)))
for bstr1, bstr2 in itertools.product(full_basis, full_basis):
np.testing.assert_array_almost_equal(gnarly_op.eval(bstr1).eval(bstr2),
gnarly_mat_op.eval(bstr1).eval(bstr2))
def test_to_matrix(self):
"""to matrix text """
np.testing.assert_array_equal(X.to_matrix(),
Operator.from_label('X').data)
np.testing.assert_array_equal(Y.to_matrix(),
Operator.from_label('Y').data)
np.testing.assert_array_equal(Z.to_matrix(),
Operator.from_label('Z').data)
op1 = Y + H
np.testing.assert_array_almost_equal(op1.to_matrix(),
Y.to_matrix() + H.to_matrix())
op2 = op1 * .5
np.testing.assert_array_almost_equal(op2.to_matrix(),
op1.to_matrix() * .5)
op3 = (4 - .6j) * op2
np.testing.assert_array_almost_equal(op3.to_matrix(),
op2.to_matrix() * (4 - .6j))
op4 = op3.tensor(X)
np.testing.assert_array_almost_equal(
op4.to_matrix(), np.kron(op3.to_matrix(), X.to_matrix()))
op5 = op4.compose(H ^ I)
np.testing.assert_array_almost_equal(
op5.to_matrix(), np.dot(op4.to_matrix(), (H ^ I).to_matrix()))
op6 = op5 + PrimitiveOp(Operator.from_label('+r').data)
np.testing.assert_array_almost_equal(
op6.to_matrix(),
op5.to_matrix() + Operator.from_label('+r').data)
param = Parameter("α")
m = np.array([[0, -1j], [1j, 0]])
op7 = MatrixOp(m, param)
np.testing.assert_array_equal(op7.to_matrix(), m * param)
param = Parameter("β")
op8 = PauliOp(primitive=Pauli(label="Y"), coeff=param)
np.testing.assert_array_equal(op8.to_matrix(), m * param)
param = Parameter("γ")
qc = QuantumCircuit(1)
qc.h(0)
op9 = CircuitOp(qc, coeff=param)
m = np.array([[1, 1], [1, -1]]) / np.sqrt(2)
np.testing.assert_array_equal(op9.to_matrix(), m * param)
def test_exp_i(self):
""" exponential of Pauli test """
op = Z.exp_i()
gate = op.to_circuit().data[0][0]
self.assertIsInstance(gate, qiskit.circuit.library.RZGate)
self.assertEqual(gate.params[0], 2)
import numpy as np from docplex.mp.model import Model from qiskit.optimization.problems import QuadraticProgram from qiskit.optimization.converters import QuadraticProgramToIsing from qiskit import QuantumCircuit from qiskit.aqua.operators import StateFn from qiskit.aqua.operators import Z, X, Y, I, H, S import random count = 0 w = 0 P_0 = I.to_matrix() P_1 = X.to_matrix() P_2 = Y.to_matrix() P_3 = Z.to_matrix() HH = H.to_matrix() S = S.to_matrix() OPE = [P_0, HH, S] pauli = [P_0, P_1, P_2, P_3] Pauli = [I, X, Y, Z] R = 2 #number of iteration == R n = 5 #number of qubits x_matrix = np.zeros((R, n)) z_matrix = np.zeros((R, n)) matrix = np.zeros((R, 2*n)) x_vector = [] z_vector = [] vector = []