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test_qsimulations.py
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import qsimulations
import numpy as np
from qutip import *
import unittest
class Test(unittest.TestCase):
"""
Unit tests for "qsimulations"
"""
testObj = qsimulations.qsimulations(0, 0, 0)
def test_0_set_Hamiltonian(self):
def H_test(t=0):
return Qobj(np.array([[0.0, 0.0], [0.0, 1.0]]))
self.testObj.H_op = H_test
np.testing.assert_array_equal(
self.testObj.H_op().full(), np.array([[0.0, 0.0], [0.0, 1.0]])
)
def test_1_set_system_size(self):
self.testObj.set_system_size(1)
self.assertEqual(self.testObj._systemSize, 1)
def test_2_set_nr_damping_ops(self):
self.testObj.set_nr_of_damping_ops(1)
self.assertEqual(self.testObj._nrOfDampingOps, 1)
def test_3_set_nr_of_ancillas(self):
self.testObj.set_nr_of_ancillas(1)
self.assertEqual(self.testObj._nrAncilla, 1)
def test_4_qobj_hamiltonian_test(self):
def H_test(t=0):
return Qobj(np.array([[0.0, 0.0], [0.0, 1.0]]))
self.testObj.H_op = H_test
np.testing.assert_array_equal(
np.array([[0.0, 0.0], [0.0, 1.0]]), self.testObj.H_op().full()
)
def test_5_qobj_hamiltonian_type_test(self):
def H_test(t=0):
return Qobj(np.array([[0.0, 0.0], [0.0, 1.0]]))
self.testObj.H_op = H_test
self.assertIsInstance(self.testObj.H_op(), Qobj)
def test_6_test_system_config(self):
self.testObj.set_system_size(2)
self.testObj.set_nr_of_ancillas(3)
self.assertEqual(self.testObj._nrAncillaDim, 8)
self.assertEqual(self.testObj._systemSizeDim, 4)
self.assertEqual(self.testObj._totalSystemSizeDim, 32)
def test_7_Pauli_arrays(self):
test_I = qsimulations.Pauli_array(qsimulations.I, 1, 1)
np.testing.assert_array_equal(test_I, np.array([[1.0, 0.0], [0.0, 1.0]]))
test_X = qsimulations.Pauli_array(qsimulations.X, 1, 1)
np.testing.assert_array_equal(
test_X,
np.array(
[
[0.0, 1.0],
[1.0, 0.0],
]
),
)
test_Y = qsimulations.Pauli_array(qsimulations.Y, 1, 1)
np.testing.assert_array_equal(test_Y, np.array([[0.0, -1j], [1j, 0.0]]))
test_Z = qsimulations.Pauli_array(qsimulations.Z, 1, 1)
np.testing.assert_array_equal(
test_Z,
np.array(
[
[1.0, 0.0],
[0.0, -1.0],
]
),
)
test_IZ = qsimulations.Pauli_array(qsimulations.Z, 2, 2)
correctValue = np.array(
[[1, 0, 0, 0], [0, -1, 0, 0], [0, 0, 1, 0], [0, 0, 0, -1]]
)
np.testing.assert_array_equal(test_IZ, correctValue)
def test_8_test_damping_operator(self):
def H_test(t=0):
return Qobj(
np.array(
[
[1.0, 0.0],
[0.0, 2.0],
]
)
)
def _test_damping_Fermi_Hubbard(i):
systemSize = 1
systemSizeDim = 2
if i == 0:
return Qobj(
-1j * H_test().full() - 0.5 * np.array([[0.0, 0.0], [1.0, 0.0]])
)
if i >= 1 and i <= systemSizeDim:
return Qobj(
0.5
* (
qsimulations.Pauli_array(qsimulations.X, i, systemSize)
+ 1j * qsimulations.Pauli_array(qsimulations.Y, i, systemSize)
)
)
return 0
self.testObj.V_op = _test_damping_Fermi_Hubbard
self.testObj.set_system_size(1)
self.assertEqual(self.testObj._systemSizeDim, 2)
np.testing.assert_array_equal(
self.testObj.V_op(1).full(), qsimulations.annihilation_op
)
def test_9_outer_prod_test(self):
self.assertIsInstance(qsimulations.outer_prod(1, 2, 2), Qobj)
np.testing.assert_array_equal(
qsimulations.outer_prod(1, 2, 2).full(), np.array([[0.0, 1.0], [0.0, 0.0]])
)
def test_10_commute_test(self):
tmp1 = np.array([[1.0, 2.0], [3.0, 4.0]])
tmp2 = np.array([[5.0, 6.0], [7.0, 8.0]])
result = tmp1 @ tmp2 - tmp2 @ tmp1
np.testing.assert_array_equal(result, qsimulations.commute(tmp1, tmp2))
def test_11_anti_commute_test(self):
tmp1 = np.array([[1.0, 2.0], [3.0, 4.0]])
tmp2 = np.array([[5.0, 6.0], [7.0, 8.0]])
result = tmp1 @ tmp2 + tmp2 @ tmp1
np.testing.assert_array_equal(result, qsimulations.anti_commute(tmp1, tmp2))
def test_12_prepare_energy_states(self):
def H_test(t=0):
return Qobj(
np.array(
[
[1.0, 0.0],
[0.0, 2.0],
]
)
)
self.testObj.H_op = H_test
self.testObj._prep_energy_states()
np.testing.assert_array_equal(
np.array([[1.0, 0.0], [0.0, 0.0]]), self.testObj.rho_ground.full()
)
np.testing.assert_array_equal(
np.array([[0.0, 0.0], [0.0, 1.0]]), self.testObj.rho_highest_en.full()
)
self.assertIsInstance(self.testObj.rho_ground, Qobj)
self.assertIsInstance(self.testObj.rho_highest_en, Qobj)
def test_13_sum_of_V(self):
def H_test(t=0):
return Qobj(
np.array(
[
[1.0, 0.0],
[0.0, 2.0],
]
)
)
def _test_damping_Fermi_Hubbard(i, t=0):
systemSize = 1
systemSizeDim = 2
if i == 0:
return Qobj(
-1j * H_test().full() - 0.5 * np.array([[0.0, 0.0], [1.0, 0.0]])
)
if i >= 1 and i <= systemSizeDim:
return Qobj(
0.5
* (
qsimulations.Pauli_array(qsimulations.X, i, systemSize)
+ 1j * qsimulations.Pauli_array(qsimulations.Y, i, systemSize)
)
)
return 0
self.testObj.V_op = _test_damping_Fermi_Hubbard
self.testObj.set_nr_of_damping_ops(1)
self.testObj.set_system_size(1)
testValue = (
0.5
* (qsimulations.X + 1j * qsimulations.Y).conj().T
@ (0.5 * (qsimulations.X + 1j * qsimulations.Y))
)
np.testing.assert_array_equal(self.testObj.sum_of_V_dag_V().full(), testValue)
def test_14_T_first_ord_type_check(self):
def H_test(t=0):
return Qobj(
np.array(
[
[1.0, 0.0],
[0.0, 2.0],
]
)
)
def _test_damping_Fermi_Hubbard(i, t=0):
systemSize = 1
systemSizeDim = 2
if i == 0:
return Qobj(
-1j * H_test().full() - 0.5 * np.array([[0.0, 0.0], [1.0, 0.0]])
)
if i >= 1 and i <= systemSizeDim:
return Qobj(
0.5
* (
qsimulations.Pauli_array(qsimulations.X, i, systemSize)
+ 1j * qsimulations.Pauli_array(qsimulations.Y, i, systemSize)
)
)
return 0
self.testObj.H_op = H_test
self.testObj.V_op = _test_damping_Fermi_Hubbard
self.testObj.set_nr_of_ancillas(2)
self.testObj.set_nr_of_damping_ops(1)
self.testObj.set_system_size(1)
self.assertIsInstance(self.testObj.H_tilde_first_order(0.1), Qobj)
def test_15_T_second_ord_type_check(self):
dt = 1
def H_tmp(t=0):
return Qobj(np.array([[0.0, 1j], [1.0, 0.0]]))
self.testObj.H_op = H_tmp
def V_tmp(i, t=0):
return Qobj(np.array([[0.0, 2j], [0.0, 0.0]]))
self.testObj.V_op = V_tmp
def H_der_tmp(t=0):
return Qobj(np.array([[0.0, 3j], [0.0, 0.0]]))
self.testObj.H_op_derivative = H_der_tmp
def V_der_op(i=0, t=0):
return Qobj(np.array([[0.0, 4j], [0.0, 0.0]]))
self.testObj.V_op_derivative = V_der_op
self.testObj.set_system_size(1)
self.testObj.set_nr_of_ancillas(3)
self.testObj.set_nr_of_damping_ops(1)
self.testObj._update_module_varibles()
self.assertIsInstance(self.testObj.H_tilde_second_order(dt), Qobj)
def test_16_check_H_psi_ground_state(self):
def H_test(t=0):
return Qobj(
np.array(
[
[3.0, 0.0, 0.0, 0.0],
[0.0, 4.0, 0.0, 0.0],
[0.0, 0.0, 1.0, 0.0],
[0.0, 0.0, 0.0, 2.0],
]
)
)
self.testObj.H_op = H_test
self.testObj._prep_energy_states()
np.testing.assert_array_equal(
np.array([[0.0, 0.0, 1.0, 0.0]]).astype(complex), self.testObj.psi_ground
)
def test_17_check_H_psi_highest_en_state(self):
def H_test(t=0):
return Qobj(
np.array(
[
[3.0, 0.0, 0.0, 0.0],
[0.0, 4.0, 0.0, 0.0],
[0.0, 0.0, 1.0, 0.0],
[0.0, 0.0, 0.0, 2.0],
]
)
)
self.testObj.H_op = H_test
self.testObj._prep_energy_states()
np.testing.assert_array_equal(
np.array([[0.0, 1.0, 0.0, 0.0]]).astype(complex),
self.testObj.psi_highest_en,
)
def test_18_H_first_order_return_value(self):
def H_test(t=0):
return Qobj(
np.array(
[
[1.0, 0.0],
[0.0, 1.0],
]
)
)
def _damping_op(i, t=0):
systemSize = 1
systemSizeDim = 2
if i == 0:
return Qobj(
-1j * H_test().full() - 0.5 * np.array([[0.0, 0.0], [1.0, 0.0]])
)
if i >= 1 and i <= systemSizeDim:
return Qobj(i * np.array([[0.0, 1j], [-2j, 0.0]]).astype(complex))
return 0
self.testObj.H_op = H_test
self.testObj.V_op = _damping_op
self.testObj._prep_energy_states()
dt = 0.1
testVariable = np.array(
[
[1.0 * np.sqrt(dt), 0.0, 0.0, 2j, 0.0, 4j, 0.0, 0.0],
[0.0, 1.0 * np.sqrt(dt), -1j, 0.0, -2j, 0.0, 0.0, 0.0],
[0.0, 1j, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[-2j, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[0.0, 2j, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[-4j, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
[0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0],
]
)
self.testObj.set_nr_of_ancillas(2)
self.testObj.set_nr_of_damping_ops(2)
np.testing.assert_array_equal(
self.testObj.H_tilde_first_order(dt, 0).full(), testVariable
)
def test_19_H_second_order_return_value(self):
dt = 1
def H_tmp(t=0):
return Qobj(np.array([[0.0, 1j], [1.0, 0.0]]))
self.testObj.H_op = H_tmp
def V_tmp(i=0, t=0):
if i == 0:
return Qobj(
-1j * H_tmp().full() - 0.5 * np.array([[0.0, 0.0], [0.0, 4.0]])
)
else:
return Qobj(np.array([[0.0, 2j], [0.0, 0.0]]))
self.testObj.V_op = V_tmp
def H_der_tmp(t=0):
return Qobj(np.array([[0.0, 3j], [0.0, 0.0]]))
self.testObj.H_op_derivative = H_der_tmp
def V_der_op(i=0, t=0):
return Qobj(np.array([[0.0, 4j], [0.0, 0.0]]))
self.testObj.V_op_derivative = V_der_op
self.testObj.set_system_size(1)
self.testObj.set_nr_of_ancillas(3)
self.testObj.set_nr_of_damping_ops(1)
self.testObj._update_module_varibles()
testVariable = np.array(
[
[
0.0,
13j / 6,
0.5,
0.0,
-2.0 / np.sqrt(12),
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
],
[
2 / 3,
0.0,
-8j / 3,
1.0,
0.0,
2.0 / np.sqrt(12),
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
],
[
0.5,
8j / 3,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
],
[
0.0,
1.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
],
[
-2.0 / np.sqrt(12),
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
],
[
0.0,
2.0 / np.sqrt(12),
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
],
[
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
],
[
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
],
[
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
],
[
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
],
[
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
],
[
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
],
[
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
],
[
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
],
[
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
],
[
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
0.0,
],
]
).astype(complex)
self.assertIsInstance(self.testObj.H_tilde_first_order(0.1), Qobj)
np.testing.assert_array_almost_equal(
testVariable, self.testObj.H_tilde_second_order(dt).full()
)
if __name__ == "__main__":
unittest.main()