def slh_Sec6():
"""SHL for the model in Section 6 of the QSD paper"""
E = symbols(r'E', positive=True)
chi = symbols(r'\chi', real=True)
omega = symbols(r'\omega', real=True)
eta = symbols(r'\eta', real=True)
gamma1 = symbols(r'\gamma_1', positive=True)
gamma2 = symbols(r'\gamma_2', positive=True)
kappa = symbols(r'\kappa', positive=True)
A1 = Destroy(hs=hs0)
Ac1 = A1.dag()
A2 = Destroy(hs=hs1)
Ac2 = A2.dag()
Sp = LocalSigma(j=1, k=0, hs=hs2)
Sm = Sp.dag()
H = (E * I * (Ac1 - A1) + 0.5 * chi * I *
(Ac1 * Ac1 * A2 - A1 * A1 * Ac2) + omega * Sp * Sm + eta * I *
(A2 * Sp - Ac2 * Sm))
Lindblads = [
sqrt(2 * gamma1) * A1,
sqrt(2 * gamma2) * A2,
sqrt(2 * kappa) * Sm
]
return SLH(identity_matrix(3), Lindblads, H)
def test_qsd_codegen_operator_basis():
a = Destroy(hs=hs1)
ad = a.dag()
s = LocalSigma(1, 0, hs=hs2)
sd = s.dag()
circuit = SLH(identity_matrix(0), [], a * ad + s + sd)
codegen = QSDCodeGen(circuit)
ob = codegen._operator_basis_lines(indent=0)
assert dedent(ob).strip() == dedent("""
IdentityOperator Id0(0);
IdentityOperator Id1(1);
AnnihilationOperator A0(0);
FieldTransitionOperator S1_0_1(0,1,1);
FieldTransitionOperator S1_1_0(1,0,1);
Operator Id = Id0*Id1;
Operator Ad0 = A0.hc();
""").strip()
circuit = SLH(identity_matrix(0), [], ad)
codegen = QSDCodeGen(circuit)
ob = codegen._operator_basis_lines(indent=0)
assert dedent(ob).strip() == dedent("""
IdentityOperator Id0(0);
AnnihilationOperator A0(0);
Operator Id = Id0;
Operator Ad0 = A0.hc();
""").strip()
def test_driven_tls(datadir):
hs = LocalSpace('tls', basis=('g', 'e'))
w = symbols(r'\omega', real=True)
pi = sympy.pi
cos = sympy.cos
t, T, E0 = symbols('t, T, E_0', real=True)
a = 0.16
blackman = 0.5 * (1 - a - cos(2 * pi * t / T) + a * cos(4 * pi * t / T))
H0 = Destroy(hs=hs).dag() * Destroy(hs=hs)
H1 = LocalSigma('g', 'e', hs=hs) + LocalSigma('e', 'g', hs=hs)
H = w * H0 + 0.5 * E0 * blackman * H1
circuit = SLH(identity_matrix(0), [], H)
num_vals = {w: 1.0, T: 10.0, E0: 1.0 * 2 * np.pi}
# test qutip conversion
num_circuit = circuit.substitute(num_vals)
H_qutip, Ls = SLH_to_qutip(num_circuit, time_symbol=t)
assert len(Ls) == 0
assert len(H_qutip) == 3
times = np.linspace(0, num_vals[T], 201)
psi0 = qutip.basis(2, 1)
states = qutip.mesolve(H_qutip, psi0, times, [], []).states
pop0 = np.array(qutip_population(states, state=0))
pop1 = np.array(qutip_population(states, state=1))
datfile = os.path.join(datadir, 'pops.dat')
#print("DATFILE: %s" % datfile)
#np.savetxt(datfile, np.c_[times, pop0, pop1, pop0+pop1])
pop0_expect, pop1_expect = np.genfromtxt(datfile,
unpack=True,
usecols=(1, 2))
assert np.max(np.abs(pop0 - pop0_expect)) < 1e-12
assert np.max(np.abs(pop1 - pop1_expect)) < 1e-12
# Test QSD conversion
codegen = QSDCodeGen(circuit, num_vals=num_vals, time_symbol=t)
codegen.add_observable(LocalSigma('e', 'e', hs=hs), name='P_e')
psi0 = BasisKet('e', hs=hs)
codegen.set_trajectories(psi_initial=psi0,
stepper='AdaptiveStep',
dt=0.01,
nt_plot_step=5,
n_plot_steps=200,
n_trajectories=1)
scode = codegen.generate_code()
compile_cmd = _cmd_list_to_str(
codegen._build_compile_cmd(qsd_lib='$HOME/local/lib/libqsd.a',
qsd_headers='$HOME/local/include/qsd/',
executable='test_driven_tls',
path='$HOME/bin',
compiler='mpiCC',
compile_options='-g -O0'))
print(compile_cmd)
codefile = os.path.join(datadir, "test_driven_tls.cc")
#print("CODEFILE: %s" % codefile)
#with(open(codefile, 'w')) as out_fh:
#out_fh.write(scode)
#out_fh.write("\n")
with open(codefile) as in_fh:
scode_expected = in_fh.read()
assert scode.strip() == scode_expected.strip()
def Sec6_codegen(slh_Sec6, slh_Sec6_vals):
codegen = QSDCodeGen(circuit=slh_Sec6, num_vals=slh_Sec6_vals)
A2 = Destroy(hs=hs1)
Sp = LocalSigma(1, 0, hs=hs2)
Sm = Sp.dag()
codegen.add_observable(Sp * A2 * Sm * Sp, name="X1")
codegen.add_observable(Sm * Sp * A2 * Sm, name="X2")
codegen.add_observable(A2, name="A2")
psi0 = BasisKet(0, hs=hs0)
psi1 = BasisKet(0, hs=hs1)
psi2 = BasisKet(0, hs=hs2)
codegen.set_trajectories(psi_initial=psi0 * psi1 * psi2,
stepper='AdaptiveStep',
dt=0.01,
nt_plot_step=100,
n_plot_steps=5,
n_trajectories=1,
traj_save=10)
return codegen
def test_labeled_basis_op():
"""Check that in QSD code generation labeled basis states are translated
into numbered basis states"""
hs = LocalSpace('tls', basis=('g', 'e'))
a = Destroy(hs=hs)
ad = a.dag()
s = LocalSigma('g', 'e', hs=hs)
circuit = SLH(identity_matrix(0), [], a * ad)
codegen = QSDCodeGen(circuit)
codegen._update_qsd_ops([
s,
])
assert codegen._qsd_ops[s].instantiator == '(0,1,0)' != '(g,e,0)'
def test_qsd_codegen_traj(slh_Sec6):
A2 = Destroy(hs=hs1)
Sp = LocalSigma(1, 0, hs=hs2)
Sm = Sp.dag()
codegen = QSDCodeGen(circuit=slh_Sec6)
codegen.add_observable(Sp * A2 * Sm * Sp, name="X1")
codegen.add_observable(Sm * Sp * A2 * Sm, name="X2")
codegen.add_observable(A2, name="A2")
with pytest.raises(QSDCodeGenError) as excinfo:
scode = codegen._trajectory_lines(indent=0)
assert "No trajectories set up" in str(excinfo.value)
codegen.set_trajectories(psi_initial=None,
stepper='AdaptiveStep',
dt=0.01,
nt_plot_step=100,
n_plot_steps=5,
n_trajectories=1,
traj_save=10)
scode = codegen._trajectory_lines(indent=0)
assert dedent(scode).strip() == dedent(r'''
ACG gen(rndSeed); // random number generator
ComplexNormal rndm(&gen); // Complex Gaussian random numbers
double dt = 0.01;
int dtsperStep = 100;
int nOfSteps = 5;
int nTrajSave = 10;
int nTrajectory = 1;
int ReadFile = 0;
AdaptiveStep stepper(psiIni, H, nL, L);
Trajectory traj(psiIni, dt, stepper, &rndm);
traj.sumExp(nOfOut, outlist, flist , dtsperStep, nOfSteps,
nTrajectory, nTrajSave, ReadFile);
''').strip()
with pytest.raises(ValueError) as excinfo:
codegen.set_moving_basis(move_dofs=0,
delta=0.01,
width=2,
move_eps=0.01)
assert "move_dofs must be an integer >0" in str(excinfo.value)
with pytest.raises(ValueError) as excinfo:
codegen.set_moving_basis(move_dofs=4,
delta=0.01,
width=2,
move_eps=0.01)
assert "move_dofs must not be larger" in str(excinfo.value)
with pytest.raises(QSDCodeGenError) as excinfo:
codegen.set_moving_basis(move_dofs=3,
delta=0.01,
width=2,
move_eps=0.01)
assert "A moving basis cannot be used" in str(excinfo.value)
codegen.set_moving_basis(move_dofs=2, delta=0.01, width=2, move_eps=0.01)
scode = codegen._trajectory_lines(indent=0)
assert dedent(scode).strip() == dedent(r'''
ACG gen(rndSeed); // random number generator
ComplexNormal rndm(&gen); // Complex Gaussian random numbers
double dt = 0.01;
int dtsperStep = 100;
int nOfSteps = 5;
int nTrajSave = 10;
int nTrajectory = 1;
int ReadFile = 0;
AdaptiveStep stepper(psiIni, H, nL, L);
Trajectory traj(psiIni, dt, stepper, &rndm);
int move = 2;
double delta = 0.01;
int width = 2;
double moveEps = 0.01;
traj.sumExp(nOfOut, outlist, flist , dtsperStep, nOfSteps,
nTrajectory, nTrajSave, ReadFile, move,
delta, width, moveEps);
''').strip()
def test_qsd_codegen_initial_state(slh_Sec6):
A2 = Destroy(hs=hs1)
Sp = LocalSigma(1, 0, hs=hs2)
Sm = Sp.dag()
psi_cav1 = lambda n: BasisKet(n, hs=hs0)
psi_cav2 = lambda n: BasisKet(n, hs=hs1)
psi_spin = lambda n: BasisKet(n, hs=hs2)
psi_tot = lambda n, m, l: psi_cav1(n) * psi_cav2(m) * psi_spin(l)
codegen = QSDCodeGen(circuit=slh_Sec6)
codegen.add_observable(Sp * A2 * Sm * Sp, "X1.out")
codegen.add_observable(Sm * Sp * A2 * Sm, "X2.out")
codegen.add_observable(A2, "A2.out")
psi = (((psi_cav1(0) + psi_cav1(1)) / sympy.sqrt(2)) *
((psi_cav2(0) + psi_cav2(1)) / sympy.sqrt(2)) * psi_spin(0))
codegen.set_trajectories(psi_initial=psi,
stepper='AdaptiveStep',
dt=0.01,
nt_plot_step=100,
n_plot_steps=5,
n_trajectories=1,
traj_save=10)
scode = codegen._initial_state_lines(indent=0)
assert scode == dedent(r'''
State phiL0(50,0,FIELD); // HS 0
State phiL1(50,0,FIELD); // HS 1
State phiL2(2,0,FIELD); // HS 2
State phiL3(50,1,FIELD); // HS 0
State phiL4(50,1,FIELD); // HS 1
State phiT0List[3] = {(phiL0 + phiL3), (phiL1 + phiL4), phiL2};
State phiT0(3, phiT0List); // HS 0 * HS 1 * HS 2
State psiIni = (1.0L/2.0L) * (phiT0);
psiIni.normalize();
''').strip()
alpha = symbols('alpha')
psi = CoherentStateKet(alpha, hs=hs0) * psi_cav2(0) * psi_spin(0)
codegen.set_trajectories(psi_initial=psi,
stepper='AdaptiveStep',
dt=0.01,
nt_plot_step=100,
n_plot_steps=5,
n_trajectories=1,
traj_save=10)
scode = codegen._initial_state_lines(indent=0)
assert scode == dedent(r'''
State phiL0(50,0,FIELD); // HS 1
State phiL1(2,0,FIELD); // HS 2
State phiL2(50,alpha,FIELD); // HS 0
State phiT0List[3] = {phiL2, phiL0, phiL1};
State phiT0(3, phiT0List); // HS 0 * HS 1 * HS 2
State psiIni = phiT0;
psiIni.normalize();
''').strip()
psi = (psi_tot(1, 0, 0) + psi_tot(0, 1, 0)) / sympy.sqrt(2)
codegen.set_trajectories(psi_initial=psi,
stepper='AdaptiveStep',
dt=0.01,
nt_plot_step=100,
n_plot_steps=5,
n_trajectories=1,
traj_save=10)
scode = codegen._initial_state_lines(indent=0)
assert scode == dedent(r'''
State phiL0(50,0,FIELD); // HS 0
State phiL1(50,0,FIELD); // HS 1
State phiL2(2,0,FIELD); // HS 2
State phiL3(50,1,FIELD); // HS 0
State phiL4(50,1,FIELD); // HS 1
State phiT0List[3] = {phiL0, phiL4, phiL2};
State phiT0(3, phiT0List); // HS 0 * HS 1 * HS 2
State phiT1List[3] = {phiL3, phiL1, phiL2};
State phiT1(3, phiT1List); // HS 0 * HS 1 * HS 2
State psiIni = ((1.0L/2.0L)*sqrt(2)) * ((phiT0 + phiT1));
psiIni.normalize();
''').strip()
def test_qsd_codegen_observables(caplog, slh_Sec6, slh_Sec6_vals):
A2 = Destroy(hs=hs1)
Sp = LocalSigma(1, 0, hs=hs2)
Sm = Sp.dag()
codegen = QSDCodeGen(circuit=slh_Sec6, num_vals=slh_Sec6_vals)
with pytest.raises(QSDCodeGenError) as excinfo:
scode = codegen._observables_lines(indent=0)
assert "Must register at least one observable" in str(excinfo.value)
name = 'a_1 sigma_10^[2]'
codegen.add_observable(Sp * A2 * Sm * Sp, name=name)
filename = codegen._observables[name][1]
assert filename == 'a_1_sigma_10_2.out'
codegen.add_observable(Sp * A2 * Sm * Sp, name=name)
assert 'Overwriting existing operator' in caplog.text
with pytest.raises(ValueError) as exc_info:
codegen.add_observable(Sp * A2 * A2 * Sm * Sp, name="xxxx" * 20)
assert "longer than limit" in str(exc_info.value)
name = 'A2^2'
codegen.add_observable(Sp * A2 * A2 * Sm * Sp, name=name)
assert name in codegen._observables
filename = codegen._observables[name][1]
assert filename == 'A2_2.out'
with pytest.raises(ValueError) as exc_info:
codegen.add_observable(A2, name='A2_2')
assert "Cannot generate unique filename" in str(exc_info.value)
with pytest.raises(ValueError) as exc_info:
codegen.add_observable(A2, name="A2\t2")
assert "invalid characters" in str(exc_info.value)
with pytest.raises(ValueError) as exc_info:
codegen.add_observable(A2, name="A" * 100)
assert "longer than limit" in str(exc_info.value)
with pytest.raises(ValueError) as exc_info:
codegen.add_observable(A2, name="()")
assert "Cannot generate filename" in str(exc_info.value)
codegen = QSDCodeGen(circuit=slh_Sec6, num_vals=slh_Sec6_vals)
codegen.add_observable(Sp * A2 * Sm * Sp, name="X1")
codegen.add_observable(Sm * Sp * A2 * Sm, name="X2")
assert codegen._observables["X2"] == (Sm * Sp * A2 * Sm, 'X2.out')
codegen.add_observable(A2, name="A2")
assert codegen._observables["A2"] == (A2, 'A2.out')
scode = codegen._observables_lines(indent=0)
assert dedent(scode).strip() == dedent(r'''
const int nOfOut = 3;
Operator outlist[nOfOut] = {
(A1 * S2_1_0),
(A1 * S2_0_1),
A1
};
char *flist[nOfOut] = {"X1.out", "X2.out", "A2.out"};
int pipe[4] = {1,2,3,4};
''').strip()
# Note how the observables have been simplified
assert Sp * A2 * Sm * Sp == Sp * A2
assert codegen._operator_str(Sp * A2) == '(A1 * S2_1_0)'
assert Sm * Sp * A2 * Sm == Sm * A2
assert codegen._operator_str(Sm * A2) == '(A1 * S2_0_1)'
# If the oberservables introduce new operators or symbols, these should
# extend the existing ones
P1 = LocalSigma(1, 1, hs=hs2)
zeta = symbols("zeta", real=True)
codegen.add_observable(zeta * P1, name="P1")
assert P1 in codegen._local_ops
assert str(codegen._qsd_ops[P1]) == 'S2_1_1'
assert zeta in codegen.syms
codegen.num_vals.update({zeta: 1.0})
assert 'zeta' in codegen._parameters_lines(indent=0)
assert str(codegen._qsd_ops[P1]) in codegen._operator_basis_lines(indent=0)
assert Sp * A2 in set(codegen.observables)
assert Sm * A2 in set(codegen.observables)
assert zeta * P1 in set(codegen.observables)
assert list(codegen.observable_names) == ['X1', 'X2', 'A2', 'P1']
assert codegen.get_observable('X1') == Sp * A2 * Sm * Sp