def test_carr_purcell_sequence():
"""
Test the Carr-Purcell sequence.
"""
duration = 10.0
offset_count = 4
sequence = new_carr_purcell_sequence(duration=duration, offset_count=offset_count)
_spacing = duration / offset_count
_offsets = np.array(
[
_spacing * 0.5,
_spacing * 0.5 + _spacing,
_spacing * 0.5 + 2 * _spacing,
_spacing * 0.5 + 3 * _spacing,
]
)
_rabi_rotations = np.array([np.pi, np.pi, np.pi, np.pi])
_azimuthal_angles = np.array([0, 0, 0, 0])
_detuning_rotations = np.array([0, 0, 0, 0])
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_carr_purcell_sequence(
duration=duration,
offset_count=offset_count,
pre_post_rotation=True,
)
_offsets = np.array(
[
0,
_spacing * 0.5,
_spacing * 0.5 + _spacing,
_spacing * 0.5 + 2 * _spacing,
_spacing * 0.5 + 3 * _spacing,
duration,
]
)
_rabi_rotations = np.array([np.pi / 2, np.pi, np.pi, np.pi, np.pi, np.pi / 2])
_azimuthal_angles = np.array([0, 0, 0, 0, 0, np.pi])
_detuning_rotations = np.array([0, 0, 0, 0, 0, 0])
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_carr_purcell_sequence_with_even_pulses_is_identity():
"""
Tests if the product of the pulses in a Carr-Purcell sequence with pre/post
pi/2-pulses is an identity, when the number of pulses is even.
"""
even_carr_purcell_sequence = new_carr_purcell_sequence(
duration=10.0, offset_count=8, pre_post_rotation=True)
assert _pulses_produce_identity(even_carr_purcell_sequence)