def test_x_concatenated_sequence():
"""
Tests the X-concatenated sequence.
"""
duration = 10.0
concatenation_order = 3
sequence = new_x_concatenated_sequence(
duration=duration,
concatenation_order=concatenation_order,
)
_spacing = duration / (2**concatenation_order)
_offsets = [
_spacing, 3 * _spacing, 4 * _spacing, 5 * _spacing, 7 * _spacing
]
_offsets = np.array(_offsets)
_rabi_rotations = np.pi * np.ones(_offsets.shape)
_azimuthal_angles = np.zeros(_offsets.shape)
_detuning_rotations = np.zeros(_offsets.shape)
assert np.allclose(_offsets, sequence.offsets)
assert np.allclose(_rabi_rotations, sequence.rabi_rotations)
assert np.allclose(_azimuthal_angles, sequence.azimuthal_angles)
assert np.allclose(_detuning_rotations, sequence.detuning_rotations)
sequence = new_x_concatenated_sequence(
duration=duration,
concatenation_order=concatenation_order,
pre_post_rotation=True,
)
_offsets = np.insert(
_offsets,
[0, _offsets.shape[0]],
[0, duration],
)
_rabi_rotations = np.insert(
_rabi_rotations,
[0, _rabi_rotations.shape[0]],
[np.pi / 2, np.pi / 2],
)
_azimuthal_angles = np.zeros(_offsets.shape)
_detuning_rotations = np.zeros(_offsets.shape)
assert np.allclose(_offsets, sequence.offsets)
assert np.allclose(_rabi_rotations, sequence.rabi_rotations)
assert np.allclose(_azimuthal_angles, sequence.azimuthal_angles)
assert np.allclose(_detuning_rotations, sequence.detuning_rotations)
def test_if_x_concatenated_sequence_is_identity():
"""
Tests if the product of the pulses in an X concatenated sequence with pre/post
pi/2-pulses is an identity.
"""
x_concat_sequence = new_x_concatenated_sequence(
duration=10.0,
concatenation_order=4,
pre_post_rotation=True,
)
assert _pulses_produce_identity(x_concat_sequence)