Circuit#
- class scqubits.core.circuit.Circuit(symbolic_circuit, ext_basis='discretized', initiate_sym_calc=True, system_hierarchy=None, subsystem_trunc_dims=None, truncated_dim=None)[source]#
Class for analysis of custom superconducting circuits.
- Parameters
symbolic_circuit (SymbolicCircuit) – an instance of the class SymbolicCircuit
ext_basis (str) – can be “discretized” or “harmonic” which chooses whether to use discretized phi or harmonic oscillator basis for extended variables, by default “discretized”
initiate_sym_calc (bool) – attribute to initiate Circuit instance, by default True
system_hierarchy (list) – A list of lists which is provided by the user to define subsystems, by default None
subsystem_trunc_dims (list, optional) – a dict object which can be generated for a specific system_hierarchy using the method truncation_template, by default None
truncated_dim (Optional[int]) – truncated dimension if the user wants to use this circuit instance in HilbertSpace, by default None
- Returns
An instance of class Circuit
- Return type
Methods
Circuit.__init__(symbolic_circuit[, ...])Circuit.broadcast(event, **kwargs)Request a broadcast from CENTRAL_DISPATCH reporting event.
Builds the HilbertSpace object for the Circuit instance if hierarchical_diagonalization is set to true.
Returns the set of operator functions to be turned into methods of the Circuit class.
Clear all the attributes which are not part of the circuit description
Circuit.configure([transformation_matrix, ...])Method which re-initializes a circuit instance to update, hierarchical diagonalization parameters or closure branches or the variable transformation used to describe the circuit.
Use ipywidgets to create a new class instance
Circuit.create_from_file(filename)Read initdata and spectral data from file, and use those to create a new SpectrumData object.
Returns a dictionary, where each variable is associated with its respective cutoff.
Return dictionary with default parameter values for initialization of class instance
Circuit.deserialize(io_data)Take the given IOData and return an instance of the described class, initialized with the data stored in io_data.
Circuit.eigensys([evals_count, filename, ...])Calculates eigenvalues and corresponding eigenvectors using scipy.linalg.eigh.
Circuit.eigenvals([evals_count, filename, ...])Calculates eigenvalues using scipy.linalg.eigh, returns numpy array of eigenvalues.
Returns all the time independent external flux set using the circuit attributes for each of the closure branches.
Circuit.filewrite(filename)Convenience method bound to the class.
Circuit.from_yaml(input_string[, from_file, ...])Create a Circuit class instance from a circuit graph described in an input string in YAML format.
Generates a symbolic expression which is ready for numerical evaluation starting from the expression stored in the attribute hamiltonian_symbolic.
Generates the subsystems (child instances of Circuit) depending on the attribute self.system_hierarchy
Circuit.generate_wf_plot_data([which, ...])Returns the plot of the probability density of the wave function in the requested variables for the current Circuit instance.
Method to get the cutoffs for each of the circuit's degree of freedom.
Circuit.get_dispersion_vs_paramvals(...[, ...])Calculates eigenvalues/eigenstates for a varying system parameter, given an array of parameter values.
Returns dict appropriate for creating/initializing a new Serializable object.
Circuit.get_matelements_vs_paramvals(...[, ...])Calculates matrix elements for a varying system parameter, given an array of parameter values.
Circuit.get_operator_by_name(operator_name)Returns the operator for the given operator symbol which has the same dimension as the hilbertdim of the instance from which the operator is requested.
Returns a list of all operator names for the quantum system.
Circuit.get_osc_param(var_index[, which_param])Returns the oscillator parameters based on the oscillator used to diagonalize the Hamiltonian in the harmonic oscillator basis.
Method to get the circuit parameters set for all the branches.
Circuit.get_spectrum_vs_paramvals(...[, ...])Calculates eigenvalues/eigenstates for a varying system parameter, given an array of parameter values.
Circuit.get_subsystem_index(var_index)Returns the subsystem index for the subsystem to which the given var_index belongs.
Returns the Hamiltonian of the Circuit.
Returns the Hilbert dimension of the Circuit instance
Circuit.matrix_power_sparse(x, n)Circuit.matrixelement_table(operator[, ...])Returns table of matrix elements for operator with respect to the eigenstates of the qubit.
Returns the variable transformation between offset charges of periodic variables and the offset node charges
Returns all the offset charges set using the circuit attributes for each of the periodic degree of freedom.
Returns a list of the names (strings) of all operators occurring in the symbolic Hamiltonian.
Circuit.plot_dispersion_vs_paramvals(...[, ...])Generates a simple plot of a set of curves representing the charge or flux dispersion of transition energies.
Circuit.plot_evals_vs_paramvals(param_name, ...)Generates a simple plot of a set of eigenvalues as a function of one parameter.
Circuit.plot_matelem_vs_paramvals(operator, ...)Generates a simple plot of a set of eigenvalues as a function of one parameter.
Circuit.plot_matrixelements(operator[, ...])Plots matrix elements for operator, given as a string referring to a class method that returns an operator matrix.
Circuit.plot_potential(**kwargs)Returns the plot of the potential for the circuit instance.
Circuit.plot_wavefunction([which, ...])Returns the plot of the probability density of the wave function in the requested variables for the current Circuit instance.
Circuit.potential_energy(**kwargs)Returns the full potential of the circuit evaluated in a grid of points as chosen by the user or using default variable ranges.
Circuit.receive(event, sender, **kwargs)Receive a message from CENTRAL_DISPATCH and initiate action on it.
Convert the content of the current class instance into IOData format.
Circuit.set_and_return(attr_name, value)Allows to set an attribute after which self is returned. This is useful for doing something like example::.
Creates the operator methods <name>_operator for the circuit.
Circuit.set_params(**kwargs)Set new parameters through the provided dictionary.
Returns a list of noise channels this QuantumSystem supports.
Method returns a dictionary of Human readable external fluxes with associated branches and loops (represented as lists of branches) for the current instance
Circuit.sym_hamiltonian([subsystem_index, ...])Method returns a user readable symbolic Hamiltonian for the current instance
Circuit.sym_interaction(subsystem_indices[, ...])Returns the interaction between any set of subsystems for the current instance.
Circuit.sym_lagrangian([vars_type, print_latex])Method returns a user readable symbolic Lagrangian for the current instance
Circuit.sym_potential([float_round, print_latex])Method returns a user readable symbolic Lagrangian for the current instance
Returns the variable transformation used in this circuit
Circuit.widget([params])Use ipywidgets to modify parameters of class instance
Attributes
id_strtruncated_dimDescriptor class for properties that are to be monitored for changes.
- broadcast(event, **kwargs)#
Request a broadcast from CENTRAL_DISPATCH reporting event.
- Parameters
event (
str) – event name from EVENTS**kwargs –
- Return type
None
- build_hilbertspace()#
Builds the HilbertSpace object for the Circuit instance if hierarchical_diagonalization is set to true.
- circuit_operator_functions()#
Returns the set of operator functions to be turned into methods of the Circuit class.
- Return type
Dict[str,Callable]
- clear_unnecessary_attribs()[source]#
Clear all the attributes which are not part of the circuit description
- configure(transformation_matrix=None, system_hierarchy=None, subsystem_trunc_dims=None, closure_branches=None)[source]#
Method which re-initializes a circuit instance to update, hierarchical diagonalization parameters or closure branches or the variable transformation used to describe the circuit.
- Parameters
transformation_matrix (
Optional[ndarray]) – A user defined variable transformation which has the dimensions of the number nodes (not counting the ground node), by default Nonesystem_hierarchy (
Optional[list]) – A list of lists which is provided by the user to define subsystems, by default Nonesubsystem_trunc_dims (
Optional[list]) – dict object which can be generated for a specific system_hierarchy using the method truncation_template, by default Noneclosure_branches (
Optional[List[Branch]]) – List of branches where external flux variables will be specified, by default None which then chooses closure branches by an internally generated spanning tree.
- Raises
Exception – when system_hierarchy is set and subsystem_trunc_dims is not set.
- classmethod create()#
Use ipywidgets to create a new class instance
- Return type
- classmethod create_from_file(filename)#
Read initdata and spectral data from file, and use those to create a new SpectrumData object.
- Returns
new SpectrumData object, initialized with data read from file
- Return type
- Parameters
filename (str) –
- cutoffs_dict()#
Returns a dictionary, where each variable is associated with its respective cutoff.
- Returns
Cutoffs dictionary; {var_index: cutoff}
- Return type
Dict[int, int]
- static default_params()#
Return dictionary with default parameter values for initialization of class instance
- Return type
Dict[str,Any]
- classmethod deserialize(io_data)#
Take the given IOData and return an instance of the described class, initialized with the data stored in io_data.
- Return type
- Parameters
io_data (IOData) –
- eigensys(evals_count=6, filename=None, return_spectrumdata=False)#
Calculates eigenvalues and corresponding eigenvectors using scipy.linalg.eigh. Returns two numpy arrays containing the eigenvalues and eigenvectors, respectively.
- Parameters
evals_count (
int) – number of desired eigenvalues/eigenstates (default value = 6)filename (
Optional[str]) – path and filename without suffix, if file output desired (default value = None)return_spectrumdata (
bool) – if set to true, the returned data is provided as a SpectrumData object (default value = False)
- Return type
Union[Tuple[ndarray,ndarray],SpectrumData]- Returns
eigenvalues, eigenvectors as numpy arrays or in form of a SpectrumData object
- eigenvals(evals_count=6, filename=None, return_spectrumdata=False)#
Calculates eigenvalues using scipy.linalg.eigh, returns numpy array of eigenvalues.
- Parameters
evals_count (
int) – number of desired eigenvalues/eigenstates (default value = 6)filename (
Optional[str]) – path and filename without suffix, if file output desired (default value = None)return_spectrumdata (
bool) – if set to true, the returned data is provided as a SpectrumData object (default value = False)
- Return type
Union[SpectrumData,ndarray]- Returns
eigenvalues as ndarray or in form of a SpectrumData object
- external_flux_values()#
Returns all the time independent external flux set using the circuit attributes for each of the closure branches.
- Return type
List[float]
- filewrite(filename)#
Convenience method bound to the class. Simply accesses the write function.
- Return type
None- Parameters
filename (str) –
- classmethod from_yaml(input_string, from_file=True, ext_basis='discretized', basis_completion='heuristic', initiate_sym_calc=True, system_hierarchy=None, subsystem_trunc_dims=None, truncated_dim=None)[source]#
Create a Circuit class instance from a circuit graph described in an input string in YAML format.
- Parameters
input_string (
str) – String describing the number of nodes and branches connecting then along with their parametersfrom_file (
bool) – Set to True by default, when a file name should be provided to input_string, else the circuit graph description in YAML should be provided as a string.ext_basis – can be “discretized” or “harmonic” which chooses whether to use discretized phi or harmonic oscillator basis for extended variables, by default “discretized”
basis_completion – either “heuristic” or “canonical”, defines the matrix used for completing the transformation matrix. Sometimes used to change the variable transformation to result in a simpler symbolic Hamiltonian, by default “heuristic”
initiate_sym_calc – attribute to initiate Circuit instance, by default True
system_hierarchy (
Optional[list]) – A list of lists which is provided by the user to define subsystems, by default Nonesubsystem_trunc_dims (
Optional[list]) – a dict object which can be generated for a specific system_hierarchy using the method truncation_template, by default Nonetruncated_dim (
Optional[int]) – truncated dimension if the user wants to use this circuit instance in HilbertSpace, by default None
- Returns
An instance of class Circuit
- generate_hamiltonian_sym_for_numerics()#
Generates a symbolic expression which is ready for numerical evaluation starting from the expression stored in the attribute hamiltonian_symbolic. Stores the result in the attribute _hamiltonian_sym_for_numerics.
- generate_subsystems()#
Generates the subsystems (child instances of Circuit) depending on the attribute self.system_hierarchy
- generate_wf_plot_data(which=0, var_indices=(1,), eigensys=None, change_discrete_charge_to_phi=True)#
Returns the plot of the probability density of the wave function in the requested variables for the current Circuit instance.
- Parameters
which (
int) – integer to choose which wave function to plotvar_indices (
Tuple[int]) – A tuple containing the indices of the variables chosen to plot the wave function in. Should not have more than 2 entries.eigensys (
Optional[ndarray]) – The object returned by the method instance. eigensys is used to avoid the re-evaluation of the eigensystems if already evaluated.change_discrete_charge_to_phi (bool) – boolean to choose if the discrete charge basis for the periodic variable needs to be changed to phi basis.
- get_cutoffs()#
Method to get the cutoffs for each of the circuit’s degree of freedom.
- Return type
Dict[str,list]
- get_dispersion_vs_paramvals(dispersion_name, param_name, param_vals, ref_param=None, transitions=(0, 1), levels=None, point_count=50, num_cpus=None)#
Calculates eigenvalues/eigenstates for a varying system parameter, given an array of parameter values. Returns a SpectrumData object with energy_data[n] containing eigenvalues calculated for parameter value param_vals[n].
- Parameters
dispersion_name (
str) – parameter inducing the dispersion, typically ‘ng’ or ‘flux’ (will be scanned over range from 0 to 1)param_name (
str) – name of parameter to be variedparam_vals (
ndarray) – parameter values to be plugged inref_param (
Optional[str]) – optional, name of parameter to use as reference for the parameter value; e.g., to compute charge dispersion vs. EJ/EC, use EJ as param_name and EC as ref_paramtransitions (
Union[Tuple[int,int],Tuple[Tuple[int,int],...]]) – integer tuple or tuples specifying for which transitions dispersion is to be calculated (default: = (0,1))levels (
Union[int,Tuple[int,...],None]) – tuple specifying levels (rather than transitions) for which dispersion should be plotted; overrides transitions parameter when givenpoint_count (
int) – number of points scanned for the dispersion parameter for determining min and max values of transition energies (default: 50)num_cpus (
Optional[int]) – number of cores to be used for computation (default value: settings.NUM_CPUS)
- Return type
- get_initdata()#
Returns dict appropriate for creating/initializing a new Serializable object.
- Return type
Dict[str,Any]
- get_matelements_vs_paramvals(operator, param_name, param_vals, evals_count=6, num_cpus=None)#
Calculates matrix elements for a varying system parameter, given an array of parameter values. Returns a SpectrumData object containing matrix element data, eigenvalue data, and eigenstate data..
- Parameters
operator (
str) – name of class method in string form, returning operator matrixparam_name (
str) – name of parameter to be variedparam_vals (
ndarray) – parameter values to be plugged inevals_count (
int) – number of desired eigenvalues (sorted from smallest to largest) (default value = 6)num_cpus (
Optional[int]) – number of cores to be used for computation (default value: settings.NUM_CPUS)
- Return type
- get_operator_by_name(operator_name)#
Returns the operator for the given operator symbol which has the same dimension as the hilbertdim of the instance from which the operator is requested.
- Parameters
operator_name (
str) – Name of a sympy Symbol object which should be one among the symbols in the attribute vars- Return type
Qobj- Returns
operator
- classmethod get_operator_names()#
Returns a list of all operator names for the quantum system. Note that this list omits any operators that start with “_”.
- Parameters
subsys – Class instance of quantum system
- Return type
List[str]- Returns
list of operator names
- get_osc_param(var_index, which_param='length')#
Returns the oscillator parameters based on the oscillator used to diagonalize the Hamiltonian in the harmonic oscillator basis.
- Parameters
var_index (
int) – var index whose oscillator parameter needs to be fetchedwhich_param (
str) – “length” or “freq” - decides which parameter is returned, by default “length”
- Return type
float- Returns
returns the float value which is the oscillator length or the frequency of the oscillator corresponding to var_index depending on the string which_param.
- get_params()#
Method to get the circuit parameters set for all the branches.
- Return type
List[float]
- get_spectrum_vs_paramvals(param_name, param_vals, evals_count=6, subtract_ground=False, get_eigenstates=False, filename=None, num_cpus=None)#
Calculates eigenvalues/eigenstates for a varying system parameter, given an array of parameter values. Returns a SpectrumData object with energy_data[n] containing eigenvalues calculated for parameter value param_vals[n].
- Parameters
param_name (
str) – name of parameter to be variedparam_vals (
ndarray) – parameter values to be plugged inevals_count (
int) – number of desired eigenvalues (sorted from smallest to largest) (default value = 6)subtract_ground (
bool) – if True, eigenvalues are returned relative to the ground state eigenvalue (default value = False)get_eigenstates (
bool) – return eigenstates along with eigenvalues (default value = False)filename (
Optional[str]) – file name if direct output to disk is wantednum_cpus (
Optional[int]) – number of cores to be used for computation (default value: settings.NUM_CPUS)
- Return type
- get_subsystem_index(var_index)#
Returns the subsystem index for the subsystem to which the given var_index belongs.
- Parameters
var_index (
int) – variable index in integer starting from 1.- Return type
int- Returns
subsystem index which can be used to identify the subsystem index in the list self.subsystems.
- hamiltonian()#
Returns the Hamiltonian of the Circuit.
- hilbertdim()#
Returns the Hilbert dimension of the Circuit instance
- matrixelement_table(operator, evecs=None, evals_count=6, filename=None, return_datastore=False)#
Returns table of matrix elements for operator with respect to the eigenstates of the qubit. The operator is given as a string matching a class method returning an operator matrix. E.g., for an instance trm of Transmon, the matrix element table for the charge operator is given by trm.op_matrixelement_table(‘n_operator’). When esys is set to None, the eigensystem is calculated on-the-fly.
- Parameters
operator (
str) – name of class method in string form, returning operator matrix in qubit-internal basis.evecs (
Optional[ndarray]) – if not provided, then the necessary eigenstates are calculated on the flyevals_count (
int) – number of desired matrix elements, starting with ground state (default value = 6)filename (
Optional[str]) – output file namereturn_datastore (
bool) – if set to true, the returned data is provided as a DataStore object (default value = False)
- Return type
Union[DataStore,ndarray]
- offset_charge_transformation()[source]#
Returns the variable transformation between offset charges of periodic variables and the offset node charges
- Returns
Human readable form of expressions of offset charges in terms of node offset charges
- Return type
sm.Expr
- offset_charge_values()#
Returns all the offset charges set using the circuit attributes for each of the periodic degree of freedom.
- Return type
List[float]
- operator_names_in_hamiltonian_symbolic()#
Returns a list of the names (strings) of all operators occurring in the symbolic Hamiltonian.
- Return type
List[str]
- plot_dispersion_vs_paramvals(dispersion_name, param_name, param_vals, ref_param=None, transitions=(0, 1), levels=None, point_count=50, num_cpus=None, **kwargs)#
Generates a simple plot of a set of curves representing the charge or flux dispersion of transition energies.
- Parameters
dispersion_name (
str) – parameter inducing the dispersion, typically ‘ng’ or ‘flux’ (will be scanned over range from 0 to 1)param_name (
str) – name of parameter to be variedparam_vals (
ndarray) – parameter values to be plugged inref_param (
Optional[str]) – optional, name of parameter to use as reference for the parameter value; e.g., to compute charge dispersion vs. EJ/EC, use EJ as param_name and EC as ref_paramtransitions (
Union[Tuple[int,int],Tuple[Tuple[int,int],...]]) – integer tuple or tuples specifying for which transitions dispersion is to be calculated (default: = (0,1))levels (
Union[int,Tuple[int,...],None]) – int or tuple specifying level(s) (rather than transitions) for which dispersion should be plotted; overrides transitions parameter when givenpoint_count (
int) – number of points scanned for the dispersion parameter for determining min and max values of transition energies (default: 50)num_cpus (
Optional[int]) – number of cores to be used for computation (default value: settings.NUM_CPUS)**kwargs – standard plotting option (see separate documentation)
- Return type
Tuple[Figure,Axes]
- plot_evals_vs_paramvals(param_name, param_vals, evals_count=6, subtract_ground=False, num_cpus=None, **kwargs)#
Generates a simple plot of a set of eigenvalues as a function of one parameter. The individual points correspond to the a provided array of parameter values.
- Parameters
param_name (
str) – name of parameter to be variedparam_vals (
ndarray) – parameter values to be plugged inevals_count (
int) – number of desired eigenvalues (sorted from smallest to largest) (default value = 6)subtract_ground (
bool) – whether to subtract ground state energy from all eigenvalues (default value = False)num_cpus (
Optional[int]) – number of cores to be used for computation (default value: settings.NUM_CPUS)**kwargs – standard plotting option (see separate documentation)
- Return type
Tuple[Figure,Axes]
- plot_matelem_vs_paramvals(operator, param_name, param_vals, select_elems=4, mode='abs', num_cpus=None, **kwargs)#
Generates a simple plot of a set of eigenvalues as a function of one parameter. The individual points correspond to the a provided array of parameter values.
- Parameters
operator (
str) – name of class method in string form, returning operator matrixparam_name (
str) – name of parameter to be variedparam_vals (
ndarray) – parameter values to be plugged inselect_elems (
Union[int,List[Tuple[int,int]]]) – either maximum index of desired matrix elements, or list [(i1, i2), (i3, i4), …] of index tuples for specific desired matrix elements (default value = 4)mode (
str) – idx_entry from MODE_FUNC_DICTIONARY, e.g., ‘abs’ for absolute value (default value = ‘abs’)num_cpus (
Optional[int]) – number of cores to be used for computation (default value: settings.NUM_CPUS)**kwargs – standard plotting option (see separate documentation)
- Return type
Tuple[Figure,Axes]
- plot_matrixelements(operator, evecs=None, evals_count=6, mode='abs', show_numbers=False, show3d=True, **kwargs)#
Plots matrix elements for operator, given as a string referring to a class method that returns an operator matrix. E.g., for instance trm of Transmon, the matrix element plot for the charge operator n is obtained by trm.plot_matrixelements(‘n’). When esys is set to None, the eigensystem with which eigenvectors is calculated.
- Parameters
operator (
str) – name of class method in string form, returning operator matrixevecs (
Optional[ndarray]) – eigensystem data of evals, evecs; eigensystem will be calculated if set to None (default value = None)evals_count (
int) – number of desired matrix elements, starting with ground state (default value = 6)mode (
str) – idx_entry from MODE_FUNC_DICTIONARY, e.g., ‘abs’ for absolute value (default)show_numbers (
bool) – determines whether matrix element values are printed on top of the plot (default: False)show3d (
bool) – whether to show a 3d skyscraper plot of the matrix alongside the 2d plot (default: True)**kwargs – standard plotting option (see separate documentation)
- Return type
Union[Tuple[Figure,Tuple[Axes,Axes]],Tuple[Figure,Axes]]
- plot_potential(**kwargs)#
Returns the plot of the potential for the circuit instance. Make sure to not set more than two variables in the instance.potential to a Numpy array, as the the code cannot plot with more than 3 dimensions.
- Parameters
θ<index> (Union[ndarray, float]) – value(s) for the variable \(\theta_i\) occurring in the potential.
- plot_wavefunction(which=0, var_indices=(1,), esys=None, change_discrete_charge_to_phi=True, zero_calibrate=True, **kwargs)#
Returns the plot of the probability density of the wave function in the requested variables for the current Circuit instance.
- Parameters
which – integer to choose which wave function to plot
var_indices (
Tuple[int]) – A tuple containing the indices of the variables chosen to plot the wave function in. Should not have more than 2 entries.esys (
Optional[Tuple[ndarray,ndarray]]) – The object returned by the method .eigensys, is used to avoid the re-evaluation of the eigen systems if already evaluated.change_discrete_charge_to_phi (
bool) – chooses if the discrete charge basis for the periodic variable needs to be changed to phi basis.zero_calibrate (bool, optional) – if True, colors are adjusted to use zero wavefunction amplitude as the neutral color in the palette
**kwargs – plotting parameters
- potential_energy(**kwargs)#
Returns the full potential of the circuit evaluated in a grid of points as chosen by the user or using default variable ranges.
- Parameters
θ<index> – value(s) for variable :math:` heta_i` in the potential.
- Return type
ndarray
- receive(event, sender, **kwargs)#
Receive a message from CENTRAL_DISPATCH and initiate action on it.
- Parameters
event (
str) – event name from EVENTSsender (
DispatchClient) – original sender reporting the event**kwargs –
- Return type
None
- serialize()#
Convert the content of the current class instance into IOData format.
- Return type
- set_and_return(attr_name, value)#
Allows to set an attribute after which self is returned. This is useful for doing something like example:
qubit.set_and_return('flux', 0.23).some_method()
instead of example:
qubit.flux=0.23 qubit.some_method()
- Parameters
attr_name (
str) – name of class attribute in string formvalue (
Any) – value that the attribute is to be set to
- Return type
- Returns
self
- set_operators()#
Creates the operator methods <name>_operator for the circuit.
- Return type
Dict[str,Callable]
- set_params(**kwargs)#
Set new parameters through the provided dictionary.
- supported_noise_channels()#
Returns a list of noise channels this QuantumSystem supports. If none, return an empty list.
- Return type
List
- sym_external_fluxes()[source]#
Method returns a dictionary of Human readable external fluxes with associated branches and loops (represented as lists of branches) for the current instance
- sym_hamiltonian(subsystem_index=None, float_round=3, print_latex=False)#
Method returns a user readable symbolic Hamiltonian for the current instance
- Parameters
subsystem_index (
Optional[int]) – when set to an index, the Hamiltonian for the corresponding subsystem is returned.float_round (
int) – Number of digits after the decimal to which floats are roundedprint_latex (
bool) – if set to True, the expression is additionally printed as LaTeX code
- Returns
Sympy expression which is simplified to make it human readable.
- Return type
hamiltonian
- sym_interaction(subsystem_indices, float_round=3, print_latex=False)#
Returns the interaction between any set of subsystems for the current instance. It would return the interaction terms having operators from all the subsystems mentioned in the tuple.
- Parameters
subsystem_indices (
Tuple[int]) – Tuple of subsystem indicesfloat_round (
int) – Number of digits after the decimal to which floats are roundedprint_latex (
bool) – if set to True, the expression is additionally printed as LaTeX code
- Returns
Sympy Expr object having interaction terms which have operators from all the mentioned subsystems.
- Return type
interaction
- sym_lagrangian(vars_type='node', print_latex=False)[source]#
Method returns a user readable symbolic Lagrangian for the current instance
- Parameters
vars_type (
str) – “node” or “new”, fixes the kind of lagrangian requested, by default “node”print_latex (
bool) – if set to True, the expression is additionally printed as LaTeX code
- Return type
Human readable form of the Lagrangian
- sym_potential(float_round=3, print_latex=False)#
Method returns a user readable symbolic Lagrangian for the current instance
- Parameters
float_round (
int) – Number of digits after the decimal to which floats are roundedprint_latex (
bool) – if set to True, the expression is additionally printed as LaTeX code
- Return type
Human readable form of the Lagrangian
- variable_transformation()[source]#
Returns the variable transformation used in this circuit
- Returns
_description_
- Return type
sm.Expr
- widget(params=None)#
Use ipywidgets to modify parameters of class instance
- Parameters
params (Optional[Dict[str, Any]]) –