Note
This is the documentation for the current state of the development branch of Qiskit Experiments. The documentation or APIs here can change prior to being released.
ZZRamseyAnalysis¶
- class ZZRamseyAnalysis[source]¶
A class to analyze a \(ZZ\) Ramsey experiment.
Fit model
This is the curve fitting analysis. The following equation(s) are used to represent curve(s).
Analyze a \(ZZ\) Ramsey experiment by fitting the
'0'
and'1'
series to sinusoidal functions as defined in theZZRamsey
experiment. The two functions share the frequency, amplitude, decay constant, baseline, and phase parameters.\[ \begin{align}\begin{aligned}\begin{split}y_0 = - {\rm amp} \cdot e^{-x/\tau} \cos\left(2 \pi\cdot {\rm freq - zz / 2}\cdot x + {\rm phase}\right) + {\rm base} \\\end{split}\\y_1 = - {\rm amp} \cdot e^{-x/\tau} \cos\left(2 \pi\cdot {\rm freq + zz / 2}\cdot x + {\rm phase}\right) + {\rm base}\end{aligned}\end{align} \]\(freq\) is the same as the virtual frequency \(f\) mentioned in
ZZRamsey
.Fit parameters
The following fit parameters are estimated during the analysis.
- Descriptions
\(\rm amp\): Amplitude of the sinusoidal curves.
\(\tau\): The exponential decay of the curve amplitudes.
\(\rm base\): Base line of both series.
\(\rm freq\): Average frequency of both series.
\(\rm zz\): The \(ZZ\) value for the qubit pair. In terms of the fit, this is frequency difference between series 1 and series 0.
\(\rm phase\): Common phase offset.
- Initial Guess
\(\rm amp\): Half of the maximum y value less the minimum y value.
\(\tau\): Inferred by comparing the peak to peak amplitude for longer delay values with that of shorter delay values and assuming an exponential decay in amplitude.
\(\rm base\): The average of the data, excluding outliers
\(\rm freq\): The average of the frequencies with the highest power spectral density for each series.
\(\rm zz\): The difference between the frequencies with the highest power spectral density for each series
\(\rm phase\): Zero
- Boundaries
\(\rm amp\): [0, the peak to peak range of the data]
\(\tau\): [1/4 of the typical time spacing, 10 times the maximum delay time].
\(\rm base\): [the minimum amplitude less the peak to peak of the data, the maximum amplitude plus the peak to peak of the data]
\(\rm freq\): [0, the Nyquist frequency of the data].
\(\rm zz\): [-inf, inf].
\(\rm phase\): [-pi, pi].
Analysis options
These are the keyword arguments of the
run()
method.- Options
Defined in the class
BaseCurveAnalysis
:plotter (BasePlotter)
Default value: Instance ofCurvePlotter
A curve plotter instance to visualize the analysis result.plot_raw_data (bool)
Default value:False
SetTrue
to draw processed data points, dataset without formatting, on canvas. This isFalse
by default.plot_residuals (bool)
Default value:False
SetTrue
to draw the residuals data for the fitting model. This isFalse
by default.return_fit_parameters (bool)
Default value:True
(Deprecated) SetTrue
to return all fit model parameters with details of the fit outcome. Default toFalse
.data_processor (Callable)
Default value:None
A callback function to format experiment data. This can be aDataProcessor
instance that defines the self.__call__ method.normalization (bool)
Default value:False
SetTrue
to normalize y values within range [-1, 1]. Default toFalse
.average_method (Literal[“sample”, “iwv”, “shots_weighted”])
Default value:"shots_weighted"
Method to average the y values when the same x values appear multiple times. One of “sample”, “iwv” (i.e. inverse weighted variance), “shots_weighted”. Seemean_xy_data()
for details. Default to “shots_weighted”.p0 (Dict[str, float])
Default value: {}Initial guesses for the fit parameters. The dictionary is keyed on the fit parameter names.bounds (Dict[str, Tuple[float, float]])
Default value: {}Boundary of fit parameters. The dictionary is keyed on the fit parameter names and values are the tuples of (min, max) of each parameter.fit_method (str)
Default value:"least_squares"
Fit method that LMFIT minimizer uses. Default toleast_squares
method which implements the Trust Region Reflective algorithm to solve the minimization problem. See LMFIT documentation for available options.lmfit_options (Dict[str, Any])
Default value: {}Options that are passed to the LMFIT minimizer. Acceptable options depend on fit_method.x_key (str)
Default value:"xval"
Circuit metadata key representing a scanned value.fit_category (str)
Default value:"formatted"
Name of dataset in the scatter table to fit.result_parameters (List[Union[str, ParameterRepr])
Default value: ["zz"
]Parameters reported in the database as a dedicated entry. This is a list of parameter representation which is either string or ParameterRepr object. If you provide more information other than name, you can specify[ParameterRepr("alpha", "α", "a.u.")]
for example. The parameter name should be defined in the series definition. Representation should be printable in standard output, i.e. no latex syntax.extra (Dict[str, Any])
Default value: {}A dictionary that is appended to all database entries as extra information.fixed_parameters (Dict[str, Any])
Default value: {}Fitting model parameters that are fixed during the curve fitting. This should be provided with default value keyed on one of the parameter names in the series definition.filter_data (Dict[str, Any])
Default value: {}Dictionary of experiment data metadata to filter. Experiment outcomes with metadata that matches with this dictionary are used in the analysis. If not specified, all experiment data are input to the curve fitter. By default, no filtering condition is set.data_subfit_map (Dict[str, Dict[str, Any]])
Default value: {"0"
: ("0"
, {"series"
: ("series"
,"0"
)}),"1"
: ("1"
, {"series"
: ("series"
,"1"
)})}The mapping of experiment result data to sub-fit models. This dictionary is keyed on the LMFIT model name, and the value is a sorting key-value pair that filters the experiment results, and the filtering is done based on the circuit metadata.
Defined in the class
BaseAnalysis
:figure_names (str or List[str])
Default value:None
Identifier of figures that appear in the experiment data to sort figures by name.
See also
Superclass
qiskit_experiments.curve_analysis.curve_analysis.CurveAnalysis
Superclass
qiskit_experiments.curve_analysis.base_curve_analysis.BaseCurveAnalysis
Initialization
Initialize data fields that are privately accessed by methods.
- Parameters:
models – List of LMFIT
Model
class to define fitting functions and parameters. If multiple models are provided, the analysis performs multi-objective optimization where the parameters with the same name are shared among provided models. When multiple models are provided, user must specify thedata_subfit_map
value in the analysis options to allocate experimental results to a particular fit model.name – Optional. Name of this analysis.
Attributes
- models¶
Return fit models.
- name¶
Return name of this analysis.
- parameters¶
Return parameters of this curve analysis.
- plotter¶
A short-cut to the curve plotter instance.
Methods
- config()¶
Return the config dataclass for this analysis
- Return type:
- copy()¶
Return a copy of the analysis
- Return type:
- classmethod from_config(config)¶
Initialize an analysis class from analysis config
- Return type:
- model_names()¶
Return model names.
- Return type:
List[str]
- run(experiment_data, replace_results=False, **options)¶
Run analysis and update ExperimentData with analysis result.
- Parameters:
experiment_data (ExperimentData) – the experiment data to analyze.
replace_results (bool) – If True clear any existing analysis results, figures, and artifacts in the experiment data and replace with new results. See note for additional information.
options – additional analysis options. See class documentation for supported options.
- Returns:
An experiment data object containing analysis results, figures, and artifacts.
- Raises:
QiskitError – If experiment_data container is not valid for analysis.
- Return type:
Note
Updating Results
If analysis is run with
replace_results=True
then any analysis results, figures, and artifacts in the experiment data will be cleared and replaced with the new analysis results. Saving this experiment data will replace any previously saved data in a database service using the same experiment ID.If analysis is run with
replace_results=False
and the experiment data being analyzed has already been saved to a database service, or already contains analysis results or figures, a copy with a unique experiment ID will be returned containing only the new analysis results and figures. This data can then be saved as its own experiment to a database service.