def arb_axis_drag(qubit,
nutFreq,
rotAngle=0,
polarAngle=0,
aziAngle=0,
**kwargs):
"""
Single qubit arbitrary axis pulse implemented with phase ramping and frame change.
For now we assume gaussian shape.
Parameters
----------
qubit : logical channel
nutFreq: effective nutation frequency per unit of drive amplitude (Hz)
rotAngle : effective rotation rotAngle (radians)
polarAngle : polar angle of rotation axis (radians)
aziAngle : azimuthal (radians)
"""
params = overrideDefaults(qubit, kwargs)
# TODO: figure out way to reduce code duplication between this and the pulse shape
if params['length'] > 0:
#To calculate the phase ramping we'll need the sampling rate
sampRate = qubit.physChan.samplingRate
#Start from a gaussian shaped pulse
gaussPulse = PulseShapes.gaussian(amp=1,
samplingRate=sampRate,
**params).real
#Scale to achieve to the desired rotation
calScale = (rotAngle / 2 / pi) * sampRate / sum(gaussPulse)
#Calculate the phase ramp steps to achieve the desired Z component to the rotation axis
phaseSteps = -2 * pi * cos(
polarAngle) * calScale * gaussPulse / sampRate
#Calculate Z DRAG correction to phase steps
#beta is a conversion between XY drag scaling and Z drag scaling
beta = params['dragScaling'] / sampRate
instantaneousDetuning = beta * (2 * pi * calScale * sin(polarAngle) *
gaussPulse)**2
phaseSteps = phaseSteps + instantaneousDetuning * (1.0 / sampRate)
frameChange = sum(phaseSteps)
elif abs(polarAngle) < 1e-10:
#Otherwise assume we have a zero-length Z rotation
frameChange = -rotAngle
else:
raise ValueError(
'Non-zero transverse rotation with zero-length pulse.')
params['nutFreq'] = nutFreq
params['rotAngle'] = rotAngle
params['polarAngle'] = polarAngle
params['shapeFun'] = PulseShapes.arb_axis_drag
return Pulse("ArbAxis", qubit, params, 1.0, aziAngle, frameChange)
def arb_axis_drag(qubit,
nutFreq,
rotAngle=0,
polarAngle=0,
aziAngle=0,
**kwargs):
"""
Single qubit arbitrary axis pulse implemented with phase ramping and frame change.
For now we assume gaussian shape.
Parameters
----------
qubit : logical channel
nutFreq: effective nutation frequency per unit of drive amplitude (Hz)
rotAngle : effective rotation rotAngle (radians)
polarAngle : polar angle of rotation axis (radians)
aziAngle : azimuthal (radians)
"""
params = overrideDefaults(qubit, kwargs)
if params['length'] > 0:
#Start from a gaussian shaped pulse
gaussPulse = PulseShapes.gaussian(amp=1, **params)
#To calculate the phase ramping we'll need the sampling rate
sampRate = qubit.physChan.samplingRate
#Scale to achieve to the desired rotation
calScale = (rotAngle / 2 / pi) * sampRate / sum(gaussPulse)
#Calculate the phase ramp steps to achieve the desired Z component to the rotation axis
phaseSteps = -2 * pi * cos(
polarAngle) * calScale * gaussPulse / sampRate
#Calculate Z DRAG correction to phase steps
#beta is a conversion between XY drag scaling and Z drag scaling
beta = params['dragScaling'] / sampRate
instantaneousDetuning = beta * (2 * pi * calScale * sin(polarAngle) *
gaussPulse)**2
phaseSteps = phaseSteps + instantaneousDetuning * (1.0 / sampRate)
#center phase ramp around the middle of the pulse time steps
phaseRamp = np.cumsum(phaseSteps) - phaseSteps / 2
frameChange = sum(phaseSteps)
shape = (1.0 / nutFreq) * sin(polarAngle) * calScale * np.exp(
1j * aziAngle) * gaussPulse * np.exp(1j * phaseRamp)
elif abs(polarAngle) < 1e-10:
#Otherwise assume we have a zero-length Z rotation
frameChange = -rotAngle
shape = np.array([], dtype=np.complex128)
else:
raise ValueError(
'Non-zero transverse rotation with zero-length pulse.')
return Pulse("ArbAxis", qubit, shape, 0.0, frameChange)
def arb_axis_drag(qubit, nutFreq, rotAngle=0, polarAngle=0, aziAngle=0, **kwargs):
"""
Single qubit arbitrary axis pulse implemented with phase ramping and frame change.
For now we assume gaussian shape.
Parameters
----------
qubit : logical channel
nutFreq: effective nutation frequency per unit of drive amplitude (Hz)
rotAngle : effective rotation rotAngle (radians)
polarAngle : polar angle of rotation axis (radians)
aziAngle : azimuthal (radians)
"""
params = overrideDefaults(qubit, kwargs)
# TODO: figure out way to reduce code duplication between this and the pulse shape
if params['length'] > 0:
#To calculate the phase ramping we'll need the sampling rate
sampRate = qubit.physChan.samplingRate
#Start from a gaussian shaped pulse
gaussPulse = PulseShapes.gaussian(amp=1, samplingRate=sampRate, **params).real
#Scale to achieve to the desired rotation
calScale = (rotAngle/2/pi)*sampRate/sum(gaussPulse)
#Calculate the phase ramp steps to achieve the desired Z component to the rotation axis
phaseSteps = -2*pi*cos(polarAngle)*calScale*gaussPulse/sampRate
#Calculate Z DRAG correction to phase steps
#beta is a conversion between XY drag scaling and Z drag scaling
beta = params['dragScaling']/sampRate
instantaneousDetuning = beta*(2*pi*calScale*sin(polarAngle)*gaussPulse)**2
phaseSteps = phaseSteps + instantaneousDetuning*(1.0/sampRate)
frameChange = sum(phaseSteps);
elif abs(polarAngle) < 1e-10:
#Otherwise assume we have a zero-length Z rotation
frameChange = -rotAngle;
else:
raise ValueError('Non-zero transverse rotation with zero-length pulse.')
params['nutFreq'] = nutFreq
params['rotAngle'] = rotAngle
params['polarAngle'] = polarAngle
params['shapeFun'] = PulseShapes.arb_axis_drag
return Pulse("ArbAxis", qubit, params, 1.0, aziAngle, frameChange)
def arb_axis_drag(qubit, nutFreq, rotAngle=0, polarAngle=0, aziAngle=0, **kwargs):
"""
Single qubit arbitrary axis pulse implemented with phase ramping and frame change.
For now we assume gaussian shape.
Parameters
----------
qubit : logical channel
nutFreq: effective nutation frequency per unit of drive amplitude (Hz)
rotAngle : effective rotation rotAngle (radians)
polarAngle : polar angle of rotation axis (radians)
aziAngle : azimuthal (radians)
"""
params = overrideDefaults(qubit, kwargs)
if params['length'] > 0:
#Start from a gaussian shaped pulse
gaussPulse = PulseShapes.gaussian(amp=1, **params)
#To calculate the phase ramping we'll need the sampling rate
sampRate = qubit.physChan.samplingRate
#Scale to achieve to the desired rotation
calScale = (rotAngle/2/pi)*sampRate/sum(gaussPulse)
#Calculate the phase ramp steps to achieve the desired Z component to the rotation axis
phaseSteps = -2*pi*cos(polarAngle)*calScale*gaussPulse/sampRate
#Calculate Z DRAG correction to phase steps
#beta is a conversion between XY drag scaling and Z drag scaling
beta = params['dragScaling']/sampRate
instantaneousDetuning = beta*(2*pi*calScale*sin(polarAngle)*gaussPulse)**2
phaseSteps = phaseSteps + instantaneousDetuning*(1.0/sampRate)
#center phase ramp around the middle of the pulse time steps
phaseRamp = np.cumsum(phaseSteps) - phaseSteps/2
frameChange = sum(phaseSteps);
shape = (1.0/nutFreq)*sin(polarAngle)*calScale*np.exp(1j*aziAngle)*gaussPulse*np.exp(1j*phaseRamp)
elif abs(polarAngle) < 1e-10:
#Otherwise assume we have a zero-length Z rotation
frameChange = -rotAngle;
shape = np.array([], dtype=np.complex128)
else:
raise ValueError('Non-zero transverse rotation with zero-length pulse.')
return Pulse("ArbAxis", qubit, shape, 0.0, frameChange)