def testDRAG(self):
'''
Try a unitary inversion pulse on a three level SCQuibt and see if we get something close to DRAG
'''
#Setup a three level qubit and a 100MHz delta
Q1 = SCQubit(3, 4.987456e9, -150e6, name='Q1')
systemParams = SystemParams()
systemParams.add_sub_system(Q1)
systemParams.add_control_ham(inphase = Hamiltonian(0.5*(Q1.loweringOp + Q1.raisingOp)), quadrature = Hamiltonian(0.5*(-1j*Q1.loweringOp + 1j*Q1.raisingOp)))
systemParams.add_control_ham(inphase = Hamiltonian(0.5*(Q1.loweringOp + Q1.raisingOp)), quadrature = Hamiltonian(0.5*(-1j*Q1.loweringOp + 1j*Q1.raisingOp)))
systemParams.create_full_Ham()
systemParams.measurement = Q1.levelProjector(1)
#Setup the pulse parameters for the optimization
numPoints = 30
pulseTime = 15e-9
pulseParams = PulseParams()
pulseParams.timeSteps = (pulseTime/numPoints)*np.ones(numPoints)
pulseParams.rhoStart = Q1.levelProjector(0)
pulseParams.rhoGoal = Q1.levelProjector(1)
pulseParams.Ugoal = Q1.pauliX
pulseParams.add_control_line(freq=-Q1.omega, bandwidth=300e6, maxAmp=200e6)
pulseParams.add_control_line(freq=-Q1.omega, phase=-np.pi/2, bandwidth=300e6, maxAmp=200e6)
pulseParams.H_int = Hamiltonian((Q1.omega)*np.diag(np.arange(Q1.dim)))
pulseParams.optimType = 'unitary'
pulseParams.derivType = 'finiteDiff'
#Start with a Gaussian
tmpGauss = np.exp(-np.linspace(-2,2,numPoints)**2)
tmpScale = 0.5/(np.sum(pulseParams.timeSteps*tmpGauss))
pulseParams.startControlAmps = np.vstack((tmpScale*tmpGauss, np.zeros(numPoints)))
#Call the optimization
optimize_pulse(pulseParams, systemParams)
if plotResults:
plt.plot(np.cumsum(pulseParams.timeSteps)*1e9,pulseParams.controlAmps.T/1e6);
plt.ylabel('Pulse Amplitude (MHz)')
plt.xlabel('Time (ns)')
plt.legend(('X Quadrature', 'Y Quadrature'))
plt.title('DRAG Pulse from Optimal Control')
plt.show()
#Now test the optimized pulse and make sure it does give us the desired unitary
result = simulate_sequence(pulseParams, systemParams, pulseParams.rhoStart, simType='unitary')
assert np.abs(np.trace(np.dot(result[1].conj().T, pulseParams.Ugoal)))**2/np.abs(np.trace(np.dot(pulseParams.Ugoal.conj().T, pulseParams.Ugoal)))**2 > 0.99
def testDRAG(self):
'''
Try a unitary inversion pulse on a three level SCQuibt and see if we get something close to DRAG
'''
#Setup a three level qubit and a 100MHz delta
Q1 = SCQubit(3, 4.987456e9, -150e6, name='Q1')
systemParams = SystemParams()
systemParams.add_sub_system(Q1)
systemParams.add_control_ham(
inphase=Hamiltonian(0.5 * (Q1.loweringOp + Q1.raisingOp)),
quadrature=Hamiltonian(0.5 *
(-1j * Q1.loweringOp + 1j * Q1.raisingOp)))
systemParams.add_control_ham(
inphase=Hamiltonian(0.5 * (Q1.loweringOp + Q1.raisingOp)),
quadrature=Hamiltonian(0.5 *
(-1j * Q1.loweringOp + 1j * Q1.raisingOp)))
systemParams.create_full_Ham()
systemParams.measurement = Q1.levelProjector(1)
#Setup the pulse parameters for the optimization
numPoints = 30
pulseTime = 15e-9
pulseParams = PulseParams()
pulseParams.timeSteps = (pulseTime / numPoints) * np.ones(numPoints)
pulseParams.rhoStart = Q1.levelProjector(0)
pulseParams.rhoGoal = Q1.levelProjector(1)
pulseParams.Ugoal = Q1.pauliX
pulseParams.add_control_line(freq=-Q1.omega,
bandwidth=300e6,
maxAmp=200e6)
pulseParams.add_control_line(freq=-Q1.omega,
phase=-np.pi / 2,
bandwidth=300e6,
maxAmp=200e6)
pulseParams.H_int = Hamiltonian(
(Q1.omega) * np.diag(np.arange(Q1.dim)))
pulseParams.optimType = 'unitary'
pulseParams.derivType = 'finiteDiff'
#Start with a Gaussian
tmpGauss = np.exp(-np.linspace(-2, 2, numPoints)**2)
tmpScale = 0.5 / (np.sum(pulseParams.timeSteps * tmpGauss))
pulseParams.startControlAmps = np.vstack(
(tmpScale * tmpGauss, np.zeros(numPoints)))
#Call the optimization
optimize_pulse(pulseParams, systemParams)
if plotResults:
plt.plot(
np.cumsum(pulseParams.timeSteps) * 1e9,
pulseParams.controlAmps.T / 1e6)
plt.ylabel('Pulse Amplitude (MHz)')
plt.xlabel('Time (ns)')
plt.legend(('X Quadrature', 'Y Quadrature'))
plt.title('DRAG Pulse from Optimal Control')
plt.show()
#Now test the optimized pulse and make sure it does give us the desired unitary
result = simulate_sequence(pulseParams,
systemParams,
pulseParams.rhoStart,
simType='unitary')
assert np.abs(np.trace(np.dot(
result[1].conj().T, pulseParams.Ugoal)))**2 / np.abs(
np.trace(np.dot(pulseParams.Ugoal.conj().T,
pulseParams.Ugoal)))**2 > 0.99
bandwidth=300e6,
maxAmp=100e6)
pulseParams.add_control_line(freq=-drive1Freq,
phase=-pi / 2,
bandwidth=300e6,
maxAmp=100e6)
#pulseParams.add_control_line(freq=-drive1Freq, phase=0)
#pulseParams.add_control_line(freq=-drive1Freq, phase=pi/2)
#pulseParams.add_control_line(freq=-drive2Freq, phase=0, bandwidth=300e6, maxAmp=100e6)
#pulseParams.add_control_line(freq=-drive2Freq, phase=-pi/2, bandwidth=300e6, maxAmp=100e6)
#pulseParams.H_int = Hamiltonian(systemParams.expand_operator('Q1', drive1Freq*Q1.numberOp) + systemParams.expand_operator('Q2', drive2Freq*Q2.numberOp))
pulseParams.optimType = 'unitary'
Q2Goal = np.eye(3, dtype=np.complex128)
Q2Goal[2, 2] = 0
pulseParams.Ugoal = np.kron(Q1.pauliX, Q2Goal)
#Rotate Q2's desired unitary by the frame rotation
UFrameShift = expm(-1j * 2 * pi * np.sum(pulseParams.timeSteps) *
systemParams.expand_operator('Q2', Q2.omega * Q2.numberOp))
pulseParams.Ugoal = np.dot(UFrameShift, pulseParams.Ugoal)
#State to state goals
pulseParams.rhoStart = np.zeros((9, 9), dtype=np.complex128)
pulseParams.rhoStart[0, 0] = 1
pulseParams.rhoGoal = np.zeros((9, 9), dtype=np.complex128)
pulseParams.rhoGoal[3, 3] = 1
#Call the optimization
pulseParams.fTol = 1e-4
pulseParams.maxfun = 50
