qiskit/test/python/synthesis/xx_decompose/test_weyl.py

104 lines
3.6 KiB
Python

# This code is part of Qiskit.
#
# (C) Copyright IBM 2021
#
# This code is licensed under the Apache License, Version 2.0. You may
# obtain a copy of this license in the LICENSE.txt file in the root directory
# of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.
#
# Any modifications or derivative works of this code must retain this
# copyright notice, and modified files need to carry a notice indicating
# that they have been altered from the originals.
"""
Tests for synthesis/xx_decompose/weyl.py .
"""
from itertools import permutations
import unittest
import ddt
import numpy as np
from qiskit.quantum_info.operators import Operator
from qiskit.synthesis.two_qubit.xx_decompose.weyl import (
apply_reflection,
apply_shift,
canonical_rotation_circuit,
reflection_options,
shift_options,
)
from .utilities import canonical_matrix
EPSILON = 0.001
@ddt.ddt
class TestMonodromyWeyl(unittest.TestCase):
"""Check Weyl action routines."""
def __init__(self, *args, seed=42, **kwargs):
super().__init__(*args, **kwargs)
self.rng = np.random.default_rng(seed)
def test_reflections(self):
"""Check that reflection circuits behave as expected."""
for name in reflection_options:
coordinate = [self.rng.random() for _ in range(3)]
reflected_coordinate, reflection_circuit, reflection_phase = apply_reflection(
name, coordinate
)
original_matrix = canonical_matrix(*coordinate)
reflected_matrix = canonical_matrix(*reflected_coordinate)
reflect_matrix = Operator(reflection_circuit).data
self.assertTrue(
np.all(
np.abs(
reflect_matrix.conjugate().transpose(1, 0)
@ original_matrix
@ reflect_matrix
- reflected_matrix * reflection_phase
)
< EPSILON
)
)
def test_shifts(self):
"""Check that shift circuits behave as expected."""
for name in shift_options:
coordinate = [self.rng.random() for _ in range(3)]
shifted_coordinate, shift_circuit, shift_phase = apply_shift(name, coordinate)
original_matrix = canonical_matrix(*coordinate)
shifted_matrix = canonical_matrix(*shifted_coordinate)
shift_matrix = Operator(shift_circuit).data
self.assertTrue(
np.all(
np.abs(original_matrix @ shift_matrix - shifted_matrix * shift_phase) < EPSILON
)
)
def test_rotations(self):
"""Check that rotation circuits behave as expected."""
for permutation in permutations([0, 1, 2]):
coordinate = [self.rng.random() for _ in range(3)]
rotation_circuit = canonical_rotation_circuit(permutation[0], permutation[1])
original_matrix = canonical_matrix(*coordinate)
rotation_matrix = Operator(rotation_circuit).data
rotated_matrix = canonical_matrix(
coordinate[permutation[0]],
coordinate[permutation[1]],
coordinate[permutation[2]],
)
self.assertTrue(
np.all(
np.abs(
rotation_matrix.conjugate().transpose(1, 0)
@ original_matrix
@ rotation_matrix
- rotated_matrix
)
< EPSILON
)
)