def test_spin_echo():
"""
Test for Spin Echo Sequence
"""
duration = 10.0
sequence = new_predefined_dds(scheme=SPIN_ECHO, duration=duration)
_offsets = np.array([duration / 2.0])
_rabi_rotations = np.array([np.pi])
_azimuthal_angles = np.array([0])
_detuning_rotations = np.array([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_predefined_dds(scheme=SPIN_ECHO,
duration=duration,
pre_post_rotation=True)
_offsets = np.array([0, duration / 2.0, duration])
_rabi_rotations = np.array([np.pi / 2, np.pi, np.pi / 2])
_azimuthal_angles = np.array([0, 0, 0])
_detuning_rotations = np.array([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_ramsey():
"""Tests Ramsey sequence
"""
duration = 10.
sequence = new_predefined_dds(
scheme='Ramsey',
duration=duration)
_offsets = np.array([])
_rabi_rotations = np.array([])
_azimuthal_angles = np.array([])
_detuning_rotations = np.array([])
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_predefined_dds(
scheme='Ramsey',
duration=duration,
pre_post_rotation=True)
_rabi_rotations = np.array([np.pi/2, np.pi/2])
_azimuthal_angles = np.array([0., 0.])
_detuning_rotations = np.array([0., 0.])
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_xyconcatenated_sequence():
"""
Test XY4-CDD Sequence
"""
duration = 10.
concatenation_order = 2
sequence = new_predefined_dds(
scheme=XY_CONCATENATED,
duration=duration,
concatenation_order=concatenation_order)
_spacing = duration / (2 ** (concatenation_order*2))
_offsets = [_spacing, 2*_spacing, 3 * _spacing, 4 * _spacing,
5 * _spacing, 6 * _spacing, 7 * _spacing, 9 * _spacing,
10 * _spacing, 11 * _spacing, 12 * _spacing, 13 * _spacing,
14 * _spacing, 15 * _spacing]
_offsets = np.array(_offsets)
_rabi_rotations = [np.pi, np.pi, np.pi, 0., np.pi, np.pi, np.pi,
np.pi, np.pi, np.pi, 0, np.pi, np.pi, np.pi]
_rabi_rotations = np.array(_rabi_rotations)
_azimuthal_angles = [0, np.pi/2, 0, 0, 0, np.pi/2, 0, 0, np.pi/2, 0, 0, 0, np.pi/2, 0]
_azimuthal_angles = np.array(_azimuthal_angles)
_detuning_rotations = [0, 0, 0, np.pi, 0, 0, 0, 0, 0, 0, np.pi, 0, 0, 0]
_detuning_rotations = np.array(_detuning_rotations)
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_predefined_dds(
scheme=XY_CONCATENATED,
duration=duration,
concatenation_order=concatenation_order,
pre_post_rotation=True)
_offsets = np.insert(_offsets,
[0, _offsets.shape[0]], # pylint: disable=unsubscriptable-object
[0, duration])
_rabi_rotations = np.insert(
_rabi_rotations,
[0, _rabi_rotations.shape[0]], # pylint: disable=unsubscriptable-object
[np.pi/2, np.pi/2])
_azimuthal_angles = np.insert(
_azimuthal_angles,
[0, _azimuthal_angles.shape[0]], # pylint: disable=unsubscriptable-object
[0, 0])
_detuning_rotations = np.insert(
_detuning_rotations,
[0, _detuning_rotations.shape[0]], # pylint: disable=unsubscriptable-object
[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_walsh_single_axis_sequence():
"""
Test for Periodic Single Axis Sequence
"""
duration = 10.
paley_order = 20
sequence = new_predefined_dds(
scheme=WALSH_SINGLE_AXIS,
duration=duration,
paley_order=paley_order)
hamming_weight = 5
samples = 2 ** hamming_weight
relative_offset = np.arange(1. / (2 * samples), 1., 1. / samples)
binary_string = np.binary_repr(paley_order)
binary_order = [int(binary_string[i]) for i in range(hamming_weight)]
walsh_array = np.ones([samples])
for i in range(hamming_weight):
walsh_array *= np.sign(np.sin(2 ** (i + 1) * np.pi
* relative_offset)) ** binary_order[hamming_weight - 1 - i]
walsh_relative_offsets = []
for i in range(samples - 1):
if walsh_array[i] != walsh_array[i + 1]:
walsh_relative_offsets.append((i + 1) * (1. / samples))
walsh_relative_offsets = np.array(walsh_relative_offsets, dtype=np.float)
_offsets = duration * walsh_relative_offsets
_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_predefined_dds(
scheme=WALSH_SINGLE_AXIS,
duration=duration,
paley_order=paley_order,
pre_post_rotation=True)
_offsets = np.insert(_offsets,
[0, _offsets.shape[0]], # pylint: disable=unsubscriptable-object
[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_curr_purcell_meiboom_sequence():
"""
Test for Carr-Purcell-Meiboom-Sequence (CPMG) sequence
"""
duration = 10.0
number_of_offsets = 4
sequence = new_predefined_dds(
scheme=CARR_PURCELL_MEIBOOM_GILL,
duration=duration,
number_of_offsets=number_of_offsets,
)
_spacing = duration / number_of_offsets
_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([np.pi / 2, np.pi / 2, np.pi / 2, np.pi / 2])
_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_predefined_dds(
scheme=CARR_PURCELL_MEIBOOM_GILL,
duration=duration,
number_of_offsets=number_of_offsets,
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, np.pi / 2, np.pi / 2, np.pi / 2, np.pi / 2, 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_xconcatenated_sequence():
"""
Test X-CDD Sequence
"""
duration = 10.0
concatenation_order = 3
sequence = new_predefined_dds(
scheme=X_CONCATENATED,
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_predefined_dds(
scheme=X_CONCATENATED,
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_uhrig_single_axis_sequence():
"""
Test for Uhrig Single Axis Sequence
"""
duration = 10.0
number_of_offsets = 4
sequence = new_predefined_dds(scheme=UHRIG_SINGLE_AXIS,
duration=duration,
number_of_offsets=number_of_offsets)
constant = 0.5 / (number_of_offsets + 1)
_delta_positions = [
duration * (np.sin(np.pi * (k + 1) * constant))**2
for k in range(number_of_offsets)
]
_offsets = np.array(_delta_positions)
_rabi_rotations = np.array([np.pi, np.pi, np.pi, np.pi])
_azimuthal_angles = np.array([np.pi / 2, np.pi / 2, np.pi / 2, np.pi / 2])
_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_predefined_dds(
scheme=UHRIG_SINGLE_AXIS,
duration=duration,
number_of_offsets=number_of_offsets,
pre_post_rotation=True,
)
_offsets = np.array(_delta_positions)
_offsets = np.insert(
_offsets,
[0, _offsets.shape[0]],
[0, 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, np.pi / 2, np.pi / 2, np.pi / 2, np.pi / 2, np.pi])
_detuning_rotations = np.array([0.0, 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_periodic_single_axis_sequence():
"""
Test for Periodic Single Axis Sequence
"""
duration = 10.0
number_of_offsets = 4
sequence = new_predefined_dds(
scheme=PERIODIC_SINGLE_AXIS,
duration=duration,
number_of_offsets=number_of_offsets,
)
constant = 1 / (number_of_offsets + 1)
# prepare the offsets for delta comb
_delta_positions = [
duration * k * constant for k in range(1, number_of_offsets + 1)
]
_offsets = np.array(_delta_positions)
_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_predefined_dds(
scheme=PERIODIC_SINGLE_AXIS,
duration=duration,
number_of_offsets=number_of_offsets,
pre_post_rotation=True,
)
_offsets = np.array(_delta_positions)
_offsets = np.insert(
_offsets,
[0, _offsets.shape[0]],
[0, 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_spin_echo_sequence_is_identity():
"""
Tests if the product of the pulses in a Spin Echo sequence with pre/post
pi/2-pulses is an identity.
"""
spin_echo_sequence = new_predefined_dds(scheme=SPIN_ECHO,
duration=10.0,
pre_post_rotation=True)
assert _pulses_produce_identity(spin_echo_sequence)
def test_if_ramsey_sequence_is_identity():
"""
Tests if the product of the pulses in the Ramsey sequence with pre/post
pi/2-pulses is an identity.
"""
ramsey_sequence = new_predefined_dds(scheme="Ramsey",
duration=10.0,
pre_post_rotation=True)
assert _pulses_produce_identity(ramsey_sequence)
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_predefined_dds(scheme=CARR_PURCELL,
duration=10.0,
number_of_offsets=8,
pre_post_rotation=True)
assert _pulses_produce_identity(even_carr_purcell_sequence)
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_predefined_dds(
scheme=X_CONCATENATED,
duration=10.0,
concatenation_order=4,
pre_post_rotation=True,
)
assert _pulses_produce_identity(x_concat_sequence)
def test_if_uhrig_sequence_with_odd_pulses_is_identity():
"""
Tests if the product of the pulses in an Uhrig sequence with pre/post
pi/2-pulses is an identity, when the number of pulses is odd.
"""
odd_uhrig_sequence = new_predefined_dds(
scheme=UHRIG_SINGLE_AXIS,
duration=10.0,
number_of_offsets=7,
pre_post_rotation=True,
)
assert _pulses_produce_identity(odd_uhrig_sequence)
def test_if_cpmg_sequence_with_odd_pulses_is_identity():
"""
Tests if the product of the pulses in a CPMG sequence with pre/post
pi/2-pulses is an identity, when the number of pulses is odd.
"""
odd_cpmg_sequence = new_predefined_dds(
scheme=CARR_PURCELL_MEIBOOM_GILL,
duration=10.0,
number_of_offsets=7,
pre_post_rotation=True,
)
assert _pulses_produce_identity(odd_cpmg_sequence)
def test_if_periodic_sequence_with_even_pulses_is_identity():
"""
Tests if the product of the pulses in a periodic DDS with pre/post
pi/2-pulses is an identity, when the number of pulses is even.
"""
even_periodic_sequence = new_predefined_dds(
scheme=PERIODIC_SINGLE_AXIS,
duration=10.0,
number_of_offsets=8,
pre_post_rotation=True,
)
assert _pulses_produce_identity(even_periodic_sequence)
def _create_test_sequence(sequence_scheme, pre_post_rotation):
"""Create a DD sequence of choice'''
Parameters
----------
sequence_scheme : str
One of 'Spin echo', 'Carr-Purcell', 'Carr-Purcell-Meiboom-Gill',
'Uhrig single-axis', 'Periodic single-axis', 'Walsh single-axis',
'Quadratic', 'X concatenated',
'XY concatenated'
pre_post_rotation : bool
If True, adds a :math:`X_{\\pi/2}` gate on either ends
Returns
-------
DynamicDecouplingSequence
The Dynamical Decoupling Sequence instance built from supplied
schema information
"""
dd_sequence_params = dict()
dd_sequence_params['scheme'] = sequence_scheme
dd_sequence_params['duration'] = 4
dd_sequence_params['pre_post_rotation'] = pre_post_rotation
# 'spin_echo' does not need any additional parameter
if dd_sequence_params['scheme'] in [
'Carr-Purcell', 'Carr-Purcell-Meiboom-Gill', 'Uhrig single-axis',
'periodic single-axis'
]:
dd_sequence_params['number_of_offsets'] = 2
elif dd_sequence_params['scheme'] in ['Walsh single-axis']:
dd_sequence_params['paley_order'] = 5
elif dd_sequence_params['scheme'] in ['quadratic']:
dd_sequence_params['duration'] = 16
dd_sequence_params['number_outer_offsets'] = 4
dd_sequence_params['number_inner_offsets'] = 4
elif dd_sequence_params['scheme'] in ['X concatenated', 'XY concatenated']:
dd_sequence_params['duration'] = 16
dd_sequence_params['concatenation_order'] = 2
sequence = new_predefined_dds(**dd_sequence_params)
return sequence
def test_if_walsh_sequence_with_even_pulses_is_identity():
"""
Tests if the product of the pulses in a quadratic sequence with pre/post
pi/2-pulses is an identity, when the number of pulses is even.
"""
even_walsh_sequence = new_predefined_dds(scheme=WALSH_SINGLE_AXIS,
duration=10.0,
paley_order=6,
pre_post_rotation=True)
# A Walsh sequence with paley_order 6 has 4 pi-pulses + 2 pi/2-pulses,
# see https://arxiv.org/pdf/1109.6002.pdf
assert len(even_walsh_sequence.offsets) == 4 + 2
assert _pulses_produce_identity(even_walsh_sequence)
def test_if_quadratic_sequence_with_even_inner_pulses_is_identity():
"""
Tests if the product of the pulses in a quadratic sequence with pre/post
pi/2-pulses is an identity, when the total number of inner pulses is even.
"""
inner_even_quadratic_sequence = new_predefined_dds(
scheme=QUADRATIC,
duration=10.0,
number_inner_offsets=8,
number_outer_offsets=7,
pre_post_rotation=True,
)
# n_outer + n_inner*(n_outer+1) pi-pulses + 2 pi/2-pulses
# total number here is even
assert len(inner_even_quadratic_sequence.offsets) == 7 + 8 * (7 + 1) + 2
assert _pulses_produce_identity(inner_even_quadratic_sequence)
def test_attribute_values():
"""
Test for the correctness of the attribute values
"""
# Check that errors are raised correctly
# duration cannot be <= 0
with pytest.raises(ArgumentsValueError):
_ = new_predefined_dds(scheme=SPIN_ECHO, duration=-2)
# number_of_offsets cannot be <= 0
_ = new_predefined_dds(
scheme=CARR_PURCELL_MEIBOOM_GILL, duration=2,
number_of_offsets=-1)
# for QDD, none of the offsets can be <=0
_ = new_predefined_dds(
scheme=QUADRATIC, duration=2,
number_inner_offsets=-1, number_outer_offsets=2)
_ = new_predefined_dds(
scheme=QUADRATIC, duration=2,
number_inner_offsets=1, number_outer_offsets=-2)
_ = new_predefined_dds(
scheme=QUADRATIC, duration=2,
number_inner_offsets=-1, number_outer_offsets=-2)
# for x-cdd and xy-cdd concatenation_order cannot be <=0
_ = new_predefined_dds(
scheme=X_CONCATENATED, duration=2,
concatenation_order=-1)
_ = new_predefined_dds(
scheme=X_CONCATENATED, duration=-2,
concatenation_order=1)
_ = new_predefined_dds(
scheme=X_CONCATENATED, duration=-2,
concatenation_order=-1)
_ = new_predefined_dds(
scheme=XY_CONCATENATED, duration=2,
concatenation_order=-1)
_ = new_predefined_dds(
scheme=XY_CONCATENATED, duration=-2,
concatenation_order=1)
_ = new_predefined_dds(
scheme=XY_CONCATENATED, duration=-2,
concatenation_order=-1)
def test_quadratic_sequence():
"""
Test for Quadratic Sequence
"""
duration = 10.
number_inner_offsets = 4
number_outer_offsets = 4
sequence = new_predefined_dds(
scheme=QUADRATIC, duration=duration,
number_inner_offsets=number_inner_offsets,
number_outer_offsets=number_outer_offsets)
_offsets = np.zeros((number_outer_offsets+1, number_inner_offsets + 1))
constant = 0.5 / (number_outer_offsets + 1)
_delta_positions = [duration * (np.sin(np.pi * (k + 1) * constant)) ** 2
for k in range(number_outer_offsets)]
_outer_offsets = np.array(_delta_positions)
_offsets[0:number_outer_offsets, -1] = _outer_offsets
_outer_offsets = np.insert(
_outer_offsets,
[0, _outer_offsets.shape[0]], # pylint: disable=unsubscriptable-object
[0, duration])
_inner_durations = _outer_offsets[1:] - _outer_offsets[0:-1]
constant = 0.5 / (number_inner_offsets+1)
_delta_positions = [(np.sin(np.pi * (k + 1) * constant)) ** 2
for k in range(number_inner_offsets)]
_delta_positions = np.array(_delta_positions)
for inner_sequence_idx in range(_inner_durations.shape[0]):
_inner_deltas = _inner_durations[inner_sequence_idx] * _delta_positions
_inner_deltas = _outer_offsets[inner_sequence_idx] + _inner_deltas
_offsets[inner_sequence_idx, 0:number_inner_offsets] = _inner_deltas
_rabi_rotations = np.zeros(_offsets.shape)
_detuning_rotations = np.zeros(_offsets.shape)
_rabi_rotations[0:number_outer_offsets, -1] = np.pi
_detuning_rotations[0:(number_outer_offsets+1), 0:number_inner_offsets] = np.pi
_offsets = np.reshape(_offsets, (-1,))
_rabi_rotations = np.reshape(_rabi_rotations, (-1,))
_detuning_rotations = np.reshape(_detuning_rotations, (-1,))
_offsets = _offsets[0:-1]
_rabi_rotations = _rabi_rotations[0:-1]
_detuning_rotations = _detuning_rotations[0:-1]
_azimuthal_angles = 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_predefined_dds(
scheme=QUADRATIC, duration=duration,
number_inner_offsets=number_inner_offsets,
number_outer_offsets=number_outer_offsets,
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])
_detuning_rotations = np.insert(_detuning_rotations, [0, _detuning_rotations.shape[0]],
[0, 0])
_azimuthal_angles = 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)
