# Data Sets Tutorial¶

This tutorial demonstrates how to create and use DataSet objects. PyGSTi uses DataSet objects to hold experimental or simulated data in the form of outcome counts. When a DataSet is used to hold time-independent data (the typical case, and all we'll look at in this tutorial), it essentially looks like a nested dictionary which associates operation sequences with dictionaries of (outcome-label,count) pairs so that dataset[circuit][outcomeLabel] can be used to read & write the number of outcomeLabel outcomes of the experiment given by the circuit circuit.

There are a few important differences between a DataSet and a dictionary-of-dictionaries:

• DataSet objects can be in one of two modes: static or non-static. When in non-static mode, data can be freely modified within the set, making this mode to use during the data-entry. In the static mode, data cannot be modified and the DataSet is essentially read-only. The done_adding_data method of a DataSet switches from non-static to static mode, and should be called, as the name implies, once all desired data has been added (or modified). Once a DataSet is static, it is read-only for the rest of its life; to modify its data the best one can do is make a non-static copy via the copy_nonstatic member and modify the copy.

• Because DataSets may contain time-dependent data, the dictionary-access syntax for a single outcome label (i.e. dataset[circuit][outcomeLabel]) cannot be used to write counts for new circuit keys; One should instead use the add_xxx methods of the DataSet object.

Once a DataSet is constructed, filled with data, and made static, it is typically passed as a parameter to one of pyGSTi's algorithm or driver routines to find a Model estimate based on the data. This tutorial focuses on how to construct a DataSet and modify its data. Later tutorials will demonstrate the different GST algorithms.

In [ ]:
import pygsti


## Creating a DataSet¶

There three basic ways to create DataSet objects in pygsti:

• By creating an empty DataSet object and manually adding counts corresponding to operation sequences. Remember that the add_xxx methods must be used to add data for operation sequences not yet in the DataSet. Once the data is added, be sure to call done_adding_data, as this restructures the internal storage of the DataSet to optimize the access operations used by algorithms.
• By loading from a text-format dataset file via pygsti.io.load_dataset. The result is a ready-to-use-in-algorithms static DataSet, so there's no need to call done_adding_data this time.
• By using a Model to generate "fake" data via generate_fake_data. This can be useful for doing simulations of GST, and comparing to your experimental results.

We do each of these in turn in the cells below.

In [ ]:
#1) Creating a data set from scratch
#    Note that tuples may be used in lieu of OpString objects
ds1 = pygsti.objects.DataSet(outcome_labels=['0','1'])
ds1.add_count_dict( ('Gx',), {'0': 10, '1': 90} )
ds1.add_count_dict( ('Gx','Gy'), {'0': 40, '1': 60} )
ds1[('Gy',)] = {'0': 10, '1': 90} # dictionary assignment

#Modify existing data using dictionary-like access
ds1[('Gx',)]['0'] = 15
ds1[('Gx',)]['1'] = 85

#OpString objects can be used.
mdl = pygsti.objects.Circuit( ('Gx','Gy'))
ds1[mdl]['0'] = 45
ds1[mdl]['1'] = 55


In [ ]:
#2) By creating and loading a text-format dataset file.  The first
#    row is a directive which specifies what the columns (after the
#    first one) holds.  Note that "0" and "1" in are the
#    SPAM labels and must match those of any Model used in
#    conjuction with this DataSet.
dataset_txt = \
"""## Columns = 0 count, 1 count
{}@(0)             0 100
Gxpi2:[email protected](0)        10 90
Gxpi2:0Gypi2:[email protected](0) 40 60
Gxpi2:0^[email protected](0)      20 90
"""
with open("../tutorial_files/Example_TinyDataset.txt","w") as tinydataset:
tinydataset.write(dataset_txt)

In [ ]:
#3) By generating fake data (using the std1Q_XYI standard model module)
from pygsti.modelpacks import smq1Q_XYI

#Depolarize the perfect X,Y,I model
depol_gateset = smq1Q_XYI.target_model().depolarize(op_noise=0.1)

#Compute the sequences needed to perform Long Sequence GST on
# this Model with sequences up to lenth 128
exp_design = smq1Q_XYI.get_gst_experiment_design(max_max_length=128)
circuit_list = exp_design.all_circuits_needing_data

#Generate fake data (Tutorial 00)
ds3 = pygsti.construction.simulate_data(depol_gateset, circuit_list, num_samples=1000,
sample_error='binomial', seed=100)
ds3b = pygsti.construction.simulate_data(depol_gateset, circuit_list, num_samples=50,
sample_error='binomial', seed=100)

#Package the ds3 and ds3b datasets together with their experiment design
# and save to disk for later tutorials to use for protocols
pygsti.protocols.ProtocolData(exp_design, ds3).write("../tutorial_files/Example_GST_Data")
pygsti.protocols.ProtocolData(exp_design, ds3b).write("../tutorial_files/Example_GST_Data_LowCnts")

#Also write the dataset files separately
pygsti.io.write_dataset("../tutorial_files/Example_Dataset.txt", ds3, outcome_label_order=['0','1'])
pygsti.io.write_dataset("../tutorial_files/Example_Dataset_LowCnts.txt", ds3b)


## Viewing DataSets¶

In [ ]:
#It's easy to just print them:
print("Dataset1:\n",ds1)
print("Dataset2:\n",ds2)
print("Dataset3 is too big to print, so here it is truncated to Dataset2's strings\n", ds3.truncate(ds2.keys()))


Note that the outcome labels '0' and '1' appear as ('0',) and ('1',). This is because outcome labels in pyGSTi are tuples of time-ordered instrument element (see the intermediate measurements tutorial) and POVM effect labels. In the special but common case when there are no intermediate measurements, the outcome label is a 1-tuple of just the final POVM effect label. In this case, one may use the effect label itself (e.g. '0' or '1') in place of the 1-tuple in almost all contexts, as it is automatically converted to the 1-tuple (e.g. ('0',) or ('1',)) internally. When printing, however, the 1-tuple is still displayed to remind the user of the more general structure contained in the DataSet.

## Iteration over data sets¶

In [ ]:
# A DataSet's keys() method returns a generator of OpString objects
ds1.keys()

In [ ]:
# There are many ways to iterate over a DataSet.  Here's one:
for circuit in ds1.keys():
dsRow = ds1[circuit]
for spamlabel in dsRow.counts.keys():
print("Circuit = %s, SPAM label = %s, count = %d" % \
(repr(circuit).ljust(13), str(spamlabel).ljust(7), dsRow[spamlabel]))


## Advanced features of data sets¶

### collision_action argument¶

When creating a DataSet one may specify the collision_action argument as either "aggregate" (the default) or "keepseparate". The former instructs the DataSet to simply add the counts of like outcomes when counts are added for an already existing gate sequence. "keepseparate", on the other hand, causes the DataSet to tag added count data by appending a fictitious "#<n>" operation label to a gate sequence that already exists, where <n> is an integer. When retreiving the keys of a keepseparate data set, the stripOccuranceTags argument to keys() determines whether the "#<n>" labels are included in the output (if they're not - the default - duplicate keys may be returned). Access to different occurances of the same data are provided via the occurrance argument of the get_row and set_row functions, which should be used instead of the usual bracket indexing.

In [ ]:
ds_agg = pygsti.objects.DataSet(outcome_labels=['0','1'], collision_action="aggregate") #the default
ds_agg.add_count_dict( ('Gx','Gy'), {'0': 10, '1': 90} )
ds_agg.add_count_dict( ('Gx','Gy'), {'0': 40, '1': 60} )
print("Aggregate-mode Dataset:\n",ds_agg)

ds_sep = pygsti.objects.DataSet(outcome_labels=['0','1'], collision_action="keepseparate")
ds_sep.add_count_dict( ('Gx','Gy'), {'0': 10, '1': 90} )
ds_sep.add_count_dict( ('Gx','Gy'), {'0': 40, '1': 60} )
print("Keepseparate-mode Dataset:\n",ds_sep)


This concludes our overview of DataSet objects. Here are a couple of related topics we didn't touch on that might be of interest:

• the ability of a DataSet to store time-dependent data (in addition to the count data described above) is covered in the timestamped data tutorial.
• the MultiDataSet object, which is similar to a dictionary of DataSets is described in the MultiDataSet tutorial. MultiDataSet objects are useful when you have several data sets containing outcomes for the same set of circuits, like when you do multiple passes of the same experimental procedure.