def test_latex_symbols(slh_Sec6): """Test that if any of the symbols contain "special" characters such as backslashes (LaTeX code), we still get valid C++ code (basic ASCII words only).""" k = symbols("\kappa", positive=True) x = symbols(r"\chi^{(1)}_{\text{main}}", real=True) c = symbols("c") a = Destroy(1) H = x * (a * a + a.dag() * a.dag()) + (c * a.dag() + c.conjugate() * a) L = sqrt(k) * a slh = SLH(identity_matrix(1), [L], H) codegen = QSDCodeGen(circuit=slh, num_vals={x: 2.0, c: 1 + 2j, k: 2}) scode = codegen._parameters_lines(indent=0) assert ( dedent(scode).strip() == dedent( """ Complex I(0.0,1.0); Complex c(1,2); double chi_1_textmain = 2; double kappa = 2;""" ).strip() )
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(0) Ac1 = A1.dag() N1 = Ac1 * A1 Id1 = identity_matrix(0) A2 = Destroy(1) Ac2 = A2.dag() N2 = Ac2 * A2 Id2 = identity_matrix(1) Sp = LocalSigma(2, 1, 0) Sm = Sp.dag() Id3 = identity_matrix(3) BasisRegistry.set_basis(A1.space, range(50)) BasisRegistry.set_basis(A2.space, range(50)) BasisRegistry.set_basis(Sp.space, range(2)) 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(1) a.space.dimension = 10 ad = a.dag() s = LocalSigma(2, 1, 0) s.space.dimension = 2 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_qsd_codegen_parameters(): k = symbols(r'kappa', positive=True) x = symbols(r'chi', real=True) c = symbols("c") a = Destroy(1) H = x * (a * a + a.dag() * a.dag()) + (c * a.dag() + c.conjugate() * a) L = sqrt(k) * a slh = SLH(identity_matrix(1), [L], H) codegen = QSDCodeGen(circuit=slh, num_vals={x: 2., c: 1 + 2j, k: 2}) scode = codegen._parameters_lines(indent=0) assert dedent(scode).strip() == dedent(""" Complex I(0.0,1.0); Complex c(1,2); double chi = 2; double kappa = 2;""").strip() codegen.num_vals.update({c: 1}) scode = codegen._parameters_lines(indent=0) assert dedent(scode).strip() == dedent(""" Complex I(0.0,1.0); Complex c(1,0); double chi = 2; double kappa = 2;""").strip() del codegen.num_vals[c] with pytest.raises(KeyError) as excinfo: scode = codegen._parameters_lines(indent=0) assert "There is no value for symbol c" in str(excinfo.value)
def test_driven_tls(datadir): hs = local_space('tls', namespace='sys', 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).dag() * Destroy(hs) H1 = LocalSigma(hs, 'g', 'e') + LocalSigma(hs, 'e', 'g') 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 H_qutip, Ls = circuit.substitute(num_vals).HL_to_qutip(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(hs, 'e', 'e'), name='P_e') psi0 = BasisKet(hs, 'e') 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 testABCD(self): a = Destroy(1) slh = SLH(identity_matrix(1), [a], 2 * a.dag() * a).coherent_input(3) A, B, C, D, a, c = getABCD(slh, doubled_up=True) self.assertEquals(A[0, 0], -sympyOne / 2 - 2 * I) self.assertEquals(A[1, 1], -sympyOne / 2 + 2 * I) self.assertEquals(B[0, 0], -1) self.assertEquals(C[0, 0], 1) self.assertEquals(D[0, 0], 1)
def testABCD(self): a = Destroy(1) slh = SLH(identity_matrix(1), [a], 2*a.dag() * a).coherent_input(3) A, B, C, D, a, c = getABCD(slh, doubled_up=True) self.assertEquals(A[0, 0], -sympyOne / 2 - 2 * I) self.assertEquals(A[1, 1], -sympyOne / 2 + 2 * I) self.assertEquals(B[0, 0], -1) self.assertEquals(C[0, 0], 1) self.assertEquals(D[0, 0], 1)
def test_labeled_basis_op(): """Check that in QSD code generation labeled basis states are translated into numbered basis states""" hs = local_space("tls", namespace="sys", basis=("g", "e")) a = Destroy(hs) ad = a.dag() s = LocalSigma(hs, "g", "e") 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_labeled_basis_op(): """Check that in QSD code generation labeled basis states are translated into numbered basis states""" hs = local_space('tls', namespace='sys', basis=('g', 'e')) a = Destroy(hs) ad = a.dag() s = LocalSigma(hs, 'g', 'e') 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_local_ops(): psa = PseudoNAND() assert isinstance(psa, Circuit) l_ops = local_ops(psa) a = Destroy(psa.space) assert type(local_ops(a)) is set assert set([IdentityOperator, a, a.dag()]) == l_ops assert local_ops(a) == set([a]) assert local_ops(a * a) == set([a]) assert local_ops(a + a.dag()) == set([a, a.dag()]) assert local_ops(10 * a) == set([a]) with pytest.raises(TypeError): local_ops({})
def test_local_ops(): psa = PseudoNAND() assert isinstance(psa, Circuit) l_ops = local_ops(psa) a = Destroy(psa.space) assert type(local_ops(a)) is set assert set([IdentityOperator, a, a.dag()]) == l_ops assert local_ops(a) == set([a]) assert local_ops(a * a) == set([a]) assert local_ops(a + a.dag()) == set([a, a.dag()]) assert local_ops(10 * a) == set([a]) with pytest.raises(TypeError): local_ops({})
def test_qsd_codegen_hamiltonian(): k = symbols(r"\kappa", positive=True) x = symbols(r"\chi", real=True) c = symbols("c", real=True) a = Destroy(1) H = x * (a * a + a.dag() * a.dag()) + (c * a.dag() + c.conjugate() * a) L = sqrt(k) * a slh = SLH(identity_matrix(1), [L], H) codegen = QSDCodeGen(circuit=slh, num_vals={x: 2.0, c: 1, k: 2}) codegen._operator_basis_lines(indent=0) scode = codegen._hamiltonian_lines(indent=0) assert scode.strip() == (r"Operator H = ((c) * (Ad0) + (c) * (A0) + (chi) " r"* (((Ad0 * Ad0) + (A0 * A0))));")
def test_qsd_codegen_hamiltonian(): k = symbols(r'\kappa', positive=True) x = symbols(r'\chi', real=True) c = symbols("c", real=True) a = Destroy(1) H = x * (a * a + a.dag() * a.dag()) + (c * a.dag() + c.conjugate() * a) L = sqrt(k) * a slh = SLH(identity_matrix(1), [L], H) codegen = QSDCodeGen(circuit=slh, num_vals={x: 2., c: 1, k: 2}) codegen._operator_basis_lines(indent=0) scode = codegen._hamiltonian_lines(indent=0) assert scode.strip() == (r'Operator H = ((c) * (Ad0) + (c) * (A0) + (chi) ' r'* (((Ad0 * Ad0) + (A0 * A0))));')
def _toSLH(self): a = Destroy(self.space) a_d = a.adjoint() S = identity_matrix(1) if self.sub_index == 0: # Include the Hamiltonian only with the first port of the kerr cavity circuit object H = self.Delta * (a_d * a) + self.chi * (a_d * a_d * a * a) L = Matrix([[sqrt(self.kappa_1) * a]]) else: H = 0 L = Matrix([[sqrt(self.kappa_2) * a]]) return SLH(S, L, H)
def _toSLH(self): a = Destroy(self.space) a_d = a.adjoint() S = identity_matrix(1) if self.sub_index == 0: # Include the Hamiltonian only with the first port of the kerr cavity circuit object H = self.Delta * (a_d * a) + self.chi * (a_d * a_d * a * a) L = Matrix([[sqrt(self.kappa_1) * a]]) else: H = 0 L = Matrix([[sqrt(self.kappa_2) * a]]) return SLH(S, L, H)
def test_find_kets(): # hs n psi_A_0 = BasisKet(0, 0) psi_A_1 = BasisKet(0, 1) psi_B_0 = BasisKet(1, 0) psi_B_1 = BasisKet(1, 1) local_psi = [psi_A_0, psi_A_1, psi_B_0, psi_B_1] psi_00 = psi_A_0 * psi_B_0 psi_01 = psi_A_0 * psi_B_1 psi_10 = psi_A_1 * psi_B_0 psi_11 = psi_A_1 * psi_B_1 tensor_psi = [psi_00, psi_01, psi_10, psi_11] a1 = Destroy(psi_A_1.space) assert set((psi_A_0, )) == find_kets(psi_A_0, LocalKet) psi = 0.5 * (psi_00 + psi_01 + psi_10 + psi_11) assert set(local_psi) == find_kets(psi, LocalKet) assert set(tensor_psi) == find_kets(psi, TensorKet) psi = 0.5 * a1 * psi_10 # = 0.5 * psi_00 assert set([psi_A_0, psi_B_0]) == find_kets(psi, LocalKet) assert set([ psi_00, ]) == find_kets(psi, TensorKet) with pytest.raises(TypeError): find_kets({}, cls=LocalKet)
def test_latex_symbols(slh_Sec6): """Test that if any of the symbols contain "special" characters such as backslashes (LaTeX code), we still get valid C++ code (basic ASCII words only).""" k = symbols("\kappa", positive=True) x = symbols(r'\chi^{(1)}_{\text{main}}', real=True) c = symbols("c") a = Destroy(1) H = x * (a * a + a.dag() * a.dag()) + (c * a.dag() + c.conjugate() * a) L = sqrt(k) * a slh = SLH(identity_matrix(1), [L], H) codegen = QSDCodeGen(circuit=slh, num_vals={x: 2., c: 1 + 2j, k: 2}) scode = codegen._parameters_lines(indent=0) assert dedent(scode).strip() == dedent(""" Complex I(0.0,1.0); Complex c(1,2); double chi_1_textmain = 2; double kappa = 2;""").strip()
def test_find_time_dependent_coeffs(): E0, sigma, t, t0, a, b = sympy.symbols("E_0, sigma, t, t_0, a, b", real=True) op_a = Destroy(0) op_n = op_a.dag() * op_a gaussian = E0 * sympy.exp(-(t - t0) ** 2 / (2 * sigma ** 2)) linear = a * t H = b * op_a.dag() + gaussian * op_n + linear * op_a coeffs = list(_find_time_dependent_coeffs(H, t)) assert len(coeffs) == 2 assert gaussian in coeffs assert linear in coeffs H = (gaussian * op_n) * (linear * op_a) + b coeffs = list(_find_time_dependent_coeffs(H, t)) assert len(coeffs) == 1 assert gaussian * linear in coeffs H = b * op_n coeffs = list(_find_time_dependent_coeffs(H, t)) len(coeffs) == 9
def test_find_time_dependent_coeffs(): E0, sigma, t, t0, a, b = sympy.symbols('E_0, sigma, t, t_0, a, b', real=True) op_a = Destroy(0) op_n = op_a.dag() * op_a gaussian = E0 * sympy.exp(-(t - t0)**2 / (2 * sigma**2)) linear = a * t H = b * op_a.dag() + gaussian * op_n + linear * op_a coeffs = list(_find_time_dependent_coeffs(H, t)) assert len(coeffs) == 2 assert gaussian in coeffs assert linear in coeffs H = (gaussian * op_n) * (linear * op_a) + b coeffs = list(_find_time_dependent_coeffs(H, t)) assert len(coeffs) == 1 assert gaussian * linear in coeffs H = b * op_n coeffs = list(_find_time_dependent_coeffs(H, t)) len(coeffs) == 9
def test_qsd_codegen_parameters(): k = symbols(r"kappa", positive=True) x = symbols(r"chi", real=True) c = symbols("c") a = Destroy(1) H = x * (a * a + a.dag() * a.dag()) + (c * a.dag() + c.conjugate() * a) L = sqrt(k) * a slh = SLH(identity_matrix(1), [L], H) codegen = QSDCodeGen(circuit=slh, num_vals={x: 2.0, c: 1 + 2j, k: 2}) scode = codegen._parameters_lines(indent=0) assert ( dedent(scode).strip() == dedent( """ Complex I(0.0,1.0); Complex c(1,2); double chi = 2; double kappa = 2;""" ).strip() ) codegen.num_vals.update({c: 1}) scode = codegen._parameters_lines(indent=0) assert ( dedent(scode).strip() == dedent( """ Complex I(0.0,1.0); Complex c(1,0); double chi = 2; double kappa = 2;""" ).strip() ) del codegen.num_vals[c] with pytest.raises(KeyError) as excinfo: scode = codegen._parameters_lines(indent=0) assert "There is no value for symbol c" in str(excinfo.value)
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(0) Ac1 = A1.dag() N1 = Ac1 * A1 Id1 = identity_matrix(0) A2 = Destroy(1) Ac2 = A2.dag() N2 = Ac2 * A2 Id2 = identity_matrix(1) Sp = LocalSigma(2, 1, 0) Sm = Sp.dag() Id3 = identity_matrix(3) BasisRegistry.set_basis(A1.space, range(50)) BasisRegistry.set_basis(A2.space, range(50)) BasisRegistry.set_basis(Sp.space, range(2)) 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 transmon_hamiltonian(n_qubit, n_cavity, non_herm=False, non_linear_decay=False): """Return the Transmon symbolic drift and control Hamiltonians. If `non_herm` is True, the drift Hamiltonian will include non-Hermitian decay terms for the spontaneous decay for the qubits and the cavity. This will be the "standard" decay with a linear decay rate, or with an independent decay rate for each level in the transmon and cavity if `non_linear_decay` is True. """ HilQ1 = LocalSpace('1', dimension=n_qubit) HilQ2 = LocalSpace('2', dimension=n_qubit) HilCav = LocalSpace('c', dimension=n_cavity) b1 = Destroy(identifier='b_1', hs=HilQ1) b1_dag = b1.adjoint() b2 = Destroy(identifier='b_2', hs=HilQ2) b2_dag = b2.adjoint() a = Destroy(hs=HilCav) a_dag = a.adjoint() δ1, δ2, Δ, α1, α2, g1, g2 = sympy.symbols( r'delta_1, delta_2, Delta, alpha_1, alpha_2, g_1, g_2', real=True) H0 = (δ1 * b1_dag * b1 + (α1 / 2) * b1_dag * b1_dag * b1 * b1 + g1 * (b1_dag * a + b1 * a_dag) + δ2 * b2_dag * b2 + (α2 / 2) * b2_dag * b2_dag * b2 * b2 + g2 * (b2_dag * a + b2 * a_dag) + Δ * a_dag * a) if non_herm: if non_linear_decay: for i in range(1, n_qubit): γ = sympy.symbols(r'gamma_%d' % i, real=True) H0 = H0 - sympy.I * γ * LocalSigma(i, i, hs=HilQ1) / 2 for j in range(1, n_qubit): γ = sympy.symbols(r'gamma_%d' % j, real=True) H0 = H0 - sympy.I * γ * LocalSigma(j, j, hs=HilQ2) / 2 for n in range(1, n_cavity): κ = sympy.symbols(r'kappa_%d' % n, real=True) H0 = H0 - sympy.I * κ * LocalSigma(n, n, hs=HilCav) / 2 else: γ, κ = sympy.symbols(r'gamma, kappa', real=True) H0 = H0 - sympy.I * γ * b1_dag * b1 / 2 H0 = H0 - sympy.I * γ * b2_dag * b2 / 2 H0 = H0 - sympy.I * κ * a_dag * a / 2 H1 = a / 2 # factor 2 to account for RWA return H0, H1
def test_qsd_codegen_operator_basis(): a = Destroy(1) a.space.dimension = 10 ad = a.dag() s = LocalSigma(2, 1, 0) s.space.dimension = 2 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 Sec6_codegen(slh_Sec6, slh_Sec6_vals): codegen = QSDCodeGen(circuit=slh_Sec6, num_vals=slh_Sec6_vals) A2 = Destroy(1) Sp = LocalSigma(2, 1, 0) 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, 0) psi1 = BasisKet(1, 0) psi2 = BasisKet(2, 0) 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 qnet_node_system(node_index, n_cavity, zero_phi=True, keep_delta=False): """Define symbols and operators for a single node""" from sympy import symbols HilAtom = LocalSpace('q%d' % int(node_index), basis=('g', 'e')) HilCavity = LocalSpace('c%d' % int(node_index), dimension=n_cavity) Sym = {} Sym['Delta'] = symbols(r'Delta_%s' % node_index, real=True) Sym['g'] = symbols(r'g_%s' % node_index, positive=True) Sym['Omega'] = symbols(r'Omega_%s' % node_index) Sym['I'] = sympy.I Sym['kappa'] = sympy.symbols(r'kappa', positive=True) if not zero_phi: Sym['phi'] = sympy.symbols(r'phi_%s' % node_index, real=True) Sym['exp'] = sympy.exp if keep_delta: Sym['delta'] = symbols(r'delta_%s' % node_index, real=True) Op = {} Op['a'] = Destroy(hs=HilCavity) Op['|g><g|'] = LocalSigma('g', 'g', hs=HilAtom) Op['|e><e|'] = LocalSigma('e', 'e', hs=HilAtom) Op['|e><g|'] = LocalSigma('e', 'g', hs=HilAtom) return Sym, Op
def transmon_model(n_qubit, n_cavity, w1, w2, wc, wd, alpha1, alpha2, g, gamma, kappa, lambda_a, pulse, dissipation_model='dissipator', gate=None, J_T='sm', iter_stop=1000, ens_pulse_scale=None): """Return a QDYN model for propagation and oct of a 2-transmon system Args: n_qubit (int): number of levels after which transmon is truncated n_cavity (int): number of levels after which cavity is truncated w1 (float): frequency of qubit 1 (MHz) w2 (float): frequency of qubit 2 (MHz) wc (float): frequency of cavity (MHz) wd (float): frequency of rotating frame (MHz) alpha1 (float): anharmonicity of transmon 1 (MHz) alpha2 (float): anharmonicity of transmon 2 (MHz) g (float): transmon-cavity coupling (MHz) gamma (float): decay rate of transmon (MHz). May be a list of values of size ``n_qubit - 1`` for non-linear decay, for ``dissipation_mode='non_Hermitian' only`` kappa (float): decay rate of cavity (MHz). May be a list of value of size ``n_cavity - 1`` for non-linear decay, for ``dissipation_mode='non_Hermitian' only``. Note that `gamma` and `kappa` must either both be floats or both be lists. lambda_a (float): Krotov scaling parameter pulse (QDYN.pulse.Pulse): control pulse dissipation_model (str): one of 'dissipator' (density matrix propagation), 'non-Hermitian' (Hilbert space propagation with non-Hermitian Hamiltonian) gate (Gate2Q): an optional two-qubit target gate. If present, it will be stored in a custom `gate` attribute. Also, the config file will have have a userdefined string parameter 'gate' with value 'target_gate.dat'. When writing the model to the runfolder, `model.gate` must be written to this file. J_T (str): The functional to be used for optimization. Must be in ['sm', 're', 'LI', 'PE']. Only used if `gate` is given. iter_stop: Maximum number of OCT iterations The returned model has custom `rwa_vector` and `gate` attributes """ δ1, δ2, Δ, α1, α2, g1, g2 = sympy.symbols( r'delta_1, delta_2, Delta, alpha_1, alpha_2, g_1, g_2', real=True) num_vals = { # numeric values in the RWA δ1: w1 - wd, δ2: w2 - wd, Δ: wc - wd, α1: alpha1, α2: alpha2, g1: g, g2: g} nt = len(pulse.tgrid) + 1 t0 = pulse.t0 T = pulse.T assert J_T in ['sm', 're', 'LI', 'PE'] if dissipation_model == 'non-Hermitian': non_herm = True assert isinstance(gamma, type(kappa)) if isinstance(gamma, float): non_linear_decay = False γ, κ = sympy.symbols('gamma, kappa', real=True) num_vals[γ] = gamma num_vals[κ] = kappa else: non_linear_decay = True assert len(gamma) == n_qubit - 1 assert len(kappa) == n_cavity - 1 for i in range(1, n_qubit): γ = sympy.symbols(r'gamma_%d' % i, real=True) num_vals[γ] = gamma[i-1] for n in range(1, n_cavity): κ = sympy.symbols(r'kappa_%d' % n, real=True) num_vals[κ] = kappa[n-1] else: non_herm = False non_linear_decay = False # non-linear decay rates are not allowed assert isinstance(gamma, float) assert isinstance(kappa, float) H0, H1 = transmon_hamiltonian(n_qubit, n_cavity, non_herm=non_herm, non_linear_decay=non_linear_decay) hs = H0.space H0_num = convert_to_qutip(H0.substitute(num_vals), full_space=hs) H1_num = convert_to_qutip(H1, full_space=H0.space) model = QDYN.model.LevelModel() # dissipation model if dissipation_model == 'dissipator': # Use a dissipator (density matrix propagation); linear decay decay_ops = {ls.label: Destroy(hs=ls) for ls in H0.space.local_factors} L1 = np.sqrt(gamma) * convert_to_qutip(decay_ops['1'], full_space=hs) L2 = np.sqrt(gamma) * convert_to_qutip(decay_ops['2'], full_space=hs) Lc = np.sqrt(kappa) * convert_to_qutip(decay_ops['c'], full_space=hs) lindblad_ops = [L1, L2, Lc] D = lindblad_ops_to_dissipator( [coo_matrix(L.data) for L in lindblad_ops]) model.set_dissipator(D, op_unit='MHz') elif dissipation_model == 'non-Hermitian': # the decay term is already included in H0 and H0_num pass else: raise ValueError("Unknown dissipatoin_model: %s" % dissipation_model) # Hamiltonian model.add_ham(H0_num, op_unit='MHz', op_type='potential') model.add_ham(H1_num, pulse=pulse, op_unit='dimensionless', op_type='dipole', sparsity_model='indexed') model.add_ham(H1_num.dag(), pulse=pulse, op_unit='dimensionless', op_type='dipole', conjg_pulse=True, sparsity_model='indexed') if ens_pulse_scale is not None: pulse.config_attribs['label'] = '' ens_labels = [] for i, f in enumerate(ens_pulse_scale): ens_label = 'gen%d' % (i+1) model.add_ham(H0_num, op_unit='MHz', op_type='potential', label=ens_label) model.add_ham(f*H1_num, pulse=pulse, op_unit='dimensionless', op_type='dipole', sparsity_model='indexed', label=ens_label) model.add_ham(f*H1_num.dag(), pulse=pulse, op_unit='dimensionless', op_type='dipole', conjg_pulse=True, sparsity_model='indexed', label=ens_label) ens_labels.append(ens_label) model.user_data['ensemble_gens'] = ",".join(ens_labels) model.set_propagation(T=T, nt=nt, t0=t0, time_unit='ns', prop_method='newton') # RWA vector model.rwa_vector = wd * np.array( [sum(ijn) for ijn in itertools.product( *[list(range(n)) for n in H0_num.dims[0]])]) # States bare_00 = state(H0.space, 0, 0, 0, fmt='qutip') bare_01 = state(H0.space, 0, 1, 0, fmt='qutip') bare_10 = state(H0.space, 1, 0, 0, fmt='qutip') bare_11 = state(H0.space, 1, 1, 0, fmt='qutip') bare_basis = [bare_00, bare_01, bare_10, bare_11] dressed_basis = pick_logical_basis(H0_num, bare_basis) dressed_00, dressed_01, dressed_10, dressed_11 = dressed_basis model.add_state(dressed_00, label='00') model.add_state(dressed_01, label='01') model.add_state(dressed_10, label='10') model.add_state(dressed_11, label='11') model.user_data['time_unit'] = 'ns' if wd > 0: model.user_data['rwa_vector'] = 'rwa_vector.dat' if dissipation_model == 'non-Hermitian': model.user_data['write_gate'] = 'U_over_t.dat' model.user_data['basis'] = '00,01,10,11' if gate is not None: model.user_data['gate'] = 'target_gate.dat' assert isinstance(gate, QDYN.gate2q.Gate2Q) model.gate = gate model.user_data['J_T'] = 'J_T_%s' % J_T model.user_data['write_optimized_gate'] = True if J_T in ['PE', 'LI']: model.user_data['w_unitary'] = 0.9 return model
def test_qsd_codegen_traj(slh_Sec6): A2 = Destroy(1) Sp = LocalSigma(2, 1, 0) 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(1) Sp = LocalSigma(2, 1, 0) Sm = Sp.dag() psi_cav1 = lambda n: BasisKet(0, n) psi_cav2 = lambda n: BasisKet(1, n) psi_spin = lambda n: BasisKet(2, n) psi_tot = lambda n, m, l: psi_cav1(n) * psi_cav2(m) * psi_spin(l) BasisRegistry.registry = {} # reset psi_cav1(0).space.dimension = 10 psi_cav2(0).space.dimension = 10 psi_spin(0).space.dimension = 2 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(10,0,FIELD); // HS 0 State phiL1(10,0,FIELD); // HS 1 State phiL2(2,0,FIELD); // HS 2 State phiL3(10,1,FIELD); // HS 0 State phiL4(10,1,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(0, alpha) * 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(10,0,FIELD); // HS 1 State phiL1(2,0,FIELD); // HS 2 State phiL2(10,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(10,0,FIELD); // HS 0 State phiL1(10,0,FIELD); // HS 1 State phiL2(2,0,FIELD); // HS 2 State phiL3(10,1,FIELD); // HS 0 State phiL4(10,1,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 testDrawSLH(self): self.assertCanBeDrawn( SLH(identity_matrix(1), Matrix([[Create(1)]]), Create(1) * Destroy(1)))
def test_qsd_codegen_observables(caplog, slh_Sec6, slh_Sec6_vals): A2 = Destroy(1) Sp = LocalSigma(2, 1, 0) 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) codegen.add_observable(Sp * A2 * Sm * Sp) name = 'a_1 sigma_10^[2]' filename = codegen._observables[name][1] assert filename == 'a_1_sigma_10_2.out' codegen.add_observable(Sp * A2 * Sm * Sp) assert 'Overwriting existing operator' in caplog.text() with pytest.raises(ValueError) as exc_info: codegen.add_observable(Sp * A2 * A2 * Sm * Sp) 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(2, 1, 1) 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
def test_operator_str(Sec6_codegen): gamma1 = symbols(r'\gamma_1', positive=True) A0 = Destroy(0) Op = sqrt(gamma1) * A0 assert Sec6_codegen._operator_str(Op) == '(sqrt(gamma_1)) * (A0)'